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Finding the Fourth Proportional to 65,201.52, 89,973 and 38,345.04

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Solution

The fourth proportional to 65,201.52, 89,973 and 38,345.04 is: 52,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.52 : 89,973 = 38,345.04 : x
  2. Step 2: Convert to fraction form
    65,201.52/89,973 = 38,345.04/x
  3. Step 3: Cross multiply
    65,201.52x = 89,973 × 38,345.04
  4. Step 4: Simplify right side
    65,201.52x = 3,450,018,283.92
  5. Step 5: Solve for x
    x = 3,450,018,283.92/65,201.52
  6. Step 6: Final answer
    x = 52,913.16

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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.