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Finding the Fourth Proportional to 77,244.46, 106,542.29 and 70,891.53

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Solution

The fourth proportional to 77,244.46, 106,542.29 and 70,891.53 is: 97,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,244.46 : 106,542.29 = 70,891.53 : x
  2. Step 2: Convert to fraction form
    77,244.46/106,542.29 = 70,891.53/x
  3. Step 3: Cross multiply
    77,244.46x = 106,542.29 × 70,891.53
  4. Step 4: Simplify right side
    77,244.46x = 7,552,945,626.38
  5. Step 5: Solve for x
    x = 7,552,945,626.38/77,244.46
  6. Step 6: Final answer
    x = 97,779.77

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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.