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Finding the Fourth Proportional to 65,208.61, 89,988.25 and 38,352.25

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Solution

The fourth proportional to 65,208.61, 89,988.25 and 38,352.25 is: 52,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.61 : 89,988.25 = 38,352.25 : x
  2. Step 2: Convert to fraction form
    65,208.61/89,988.25 = 38,352.25/x
  3. Step 3: Cross multiply
    65,208.61x = 89,988.25 × 38,352.25
  4. Step 4: Simplify right side
    65,208.61x = 3,451,251,411.12
  5. Step 5: Solve for x
    x = 3,451,251,411.12/65,208.61
  6. Step 6: Final answer
    x = 52,926.32

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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.