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Finding the Fourth Proportional to 77,953.24, 116,934.03 and 24,641.17

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Solution

The fourth proportional to 77,953.24, 116,934.03 and 24,641.17 is: 36,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,953.24 : 116,934.03 = 24,641.17 : x
  2. Step 2: Convert to fraction form
    77,953.24/116,934.03 = 24,641.17/x
  3. Step 3: Cross multiply
    77,953.24x = 116,934.03 × 24,641.17
  4. Step 4: Simplify right side
    77,953.24x = 2,881,391,312.02
  5. Step 5: Solve for x
    x = 2,881,391,312.02/77,953.24
  6. Step 6: Final answer
    x = 36,963.07

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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.