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Finding the Fourth Proportional to 77,474.80, 115,943.40 and 46,332.40

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Solution

The fourth proportional to 77,474.80, 115,943.40 and 46,332.40 is: 69,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474.80 : 115,943.40 = 46,332.40 : x
  2. Step 2: Convert to fraction form
    77,474.80/115,943.40 = 46,332.40/x
  3. Step 3: Cross multiply
    77,474.80x = 115,943.40 × 46,332.40
  4. Step 4: Simplify right side
    77,474.80x = 5,371,935,986.16
  5. Step 5: Solve for x
    x = 5,371,935,986.16/77,474.80
  6. Step 6: Final answer
    x = 69,337.85

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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.