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Finding the Fourth Proportional to 52,501.68, 72,439.38 and 32,078.52

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Solution

The fourth proportional to 52,501.68, 72,439.38 and 32,078.52 is: 44,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.68 : 72,439.38 = 32,078.52 : x
  2. Step 2: Convert to fraction form
    52,501.68/72,439.38 = 32,078.52/x
  3. Step 3: Cross multiply
    52,501.68x = 72,439.38 × 32,078.52
  4. Step 4: Simplify right side
    52,501.68x = 2,323,748,100.12
  5. Step 5: Solve for x
    x = 2,323,748,100.12/52,501.68
  6. Step 6: Final answer
    x = 44,260.45

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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.