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Finding the Fourth Proportional to 38,070, 57,037.16 and 32,466.49

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Solution

The fourth proportional to 38,070, 57,037.16 and 32,466.49 is: 48,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070 : 57,037.16 = 32,466.49 : x
  2. Step 2: Convert to fraction form
    38,070/57,037.16 = 32,466.49/x
  3. Step 3: Cross multiply
    38,070x = 57,037.16 × 32,466.49
  4. Step 4: Simplify right side
    38,070x = 1,851,796,384.77
  5. Step 5: Solve for x
    x = 1,851,796,384.77/38,070
  6. Step 6: Final answer
    x = 48,641.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.