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Finding the Fourth Proportional to 38,031.90, 52,483.84 and 21,264.90

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Solution

The fourth proportional to 38,031.90, 52,483.84 and 21,264.90 is: 29,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031.90 : 52,483.84 = 21,264.90 : x
  2. Step 2: Convert to fraction form
    38,031.90/52,483.84 = 21,264.90/x
  3. Step 3: Cross multiply
    38,031.90x = 52,483.84 × 21,264.90
  4. Step 4: Simplify right side
    38,031.90x = 1,116,063,609.22
  5. Step 5: Solve for x
    x = 1,116,063,609.22/38,031.90
  6. Step 6: Final answer
    x = 29,345.46

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.