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Finding the Fourth Proportional to 30,447, 42,018.48 and 18,508.40

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Solution

The fourth proportional to 30,447, 42,018.48 and 18,508.40 is: 25,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 42,018.48 = 18,508.40 : x
  2. Step 2: Convert to fraction form
    30,447/42,018.48 = 18,508.40/x
  3. Step 3: Cross multiply
    30,447x = 42,018.48 × 18,508.40
  4. Step 4: Simplify right side
    30,447x = 777,694,835.23
  5. Step 5: Solve for x
    x = 777,694,835.23/30,447
  6. Step 6: Final answer
    x = 25,542.58

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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.