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Finding the Fourth Proportional to 77,962.77, 116,961.70 and 24,657.97

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Solution

The fourth proportional to 77,962.77, 116,961.70 and 24,657.97 is: 36,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962.77 : 116,961.70 = 24,657.97 : x
  2. Step 2: Convert to fraction form
    77,962.77/116,961.70 = 24,657.97/x
  3. Step 3: Cross multiply
    77,962.77x = 116,961.70 × 24,657.97
  4. Step 4: Simplify right side
    77,962.77x = 2,884,038,089.75
  5. Step 5: Solve for x
    x = 2,884,038,089.75/77,962.77
  6. Step 6: Final answer
    x = 36,992.50

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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.