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Finding the Fourth Proportional to 38,291, 52,843.16 and 21,295.16

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Solution

The fourth proportional to 38,291, 52,843.16 and 21,295.16 is: 29,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291 : 52,843.16 = 21,295.16 : x
  2. Step 2: Convert to fraction form
    38,291/52,843.16 = 21,295.16/x
  3. Step 3: Cross multiply
    38,291x = 52,843.16 × 21,295.16
  4. Step 4: Simplify right side
    38,291x = 1,125,303,547.11
  5. Step 5: Solve for x
    x = 1,125,303,547.11/38,291
  6. Step 6: Final answer
    x = 29,388.20

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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.