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Finding the Fourth Proportional to 38,533, 57,801.14 and 12,237.16

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Solution

The fourth proportional to 38,533, 57,801.14 and 12,237.16 is: 18,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533 : 57,801.14 = 12,237.16 : x
  2. Step 2: Convert to fraction form
    38,533/57,801.14 = 12,237.16/x
  3. Step 3: Cross multiply
    38,533x = 57,801.14 × 12,237.16
  4. Step 4: Simplify right side
    38,533x = 707,321,798.36
  5. Step 5: Solve for x
    x = 707,321,798.36/38,533
  6. Step 6: Final answer
    x = 18,356.26

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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.