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Finding the Fourth Proportional to 77,368.16, 106,800.72 and 52,251.68

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Solution

The fourth proportional to 77,368.16, 106,800.72 and 52,251.68 is: 72,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368.16 : 106,800.72 = 52,251.68 : x
  2. Step 2: Convert to fraction form
    77,368.16/106,800.72 = 52,251.68/x
  3. Step 3: Cross multiply
    77,368.16x = 106,800.72 × 52,251.68
  4. Step 4: Simplify right side
    77,368.16x = 5,580,517,045.21
  5. Step 5: Solve for x
    x = 5,580,517,045.21/77,368.16
  6. Step 6: Final answer
    x = 72,129.38

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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.