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Finding the Fourth Proportional to 52,341.92, 78,501.08 and 14,901.16

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Solution

The fourth proportional to 52,341.92, 78,501.08 and 14,901.16 is: 22,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,341.92 : 78,501.08 = 14,901.16 : x
  2. Step 2: Convert to fraction form
    52,341.92/78,501.08 = 14,901.16/x
  3. Step 3: Cross multiply
    52,341.92x = 78,501.08 × 14,901.16
  4. Step 4: Simplify right side
    52,341.92x = 1,169,757,078.75
  5. Step 5: Solve for x
    x = 1,169,757,078.75/52,341.92
  6. Step 6: Final answer
    x = 22,348.38

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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.