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Finding the Fourth Proportional to 99,276.93, 137,002.47 and 56,835.78

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Solution

The fourth proportional to 99,276.93, 137,002.47 and 56,835.78 is: 78,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,276.93 : 137,002.47 = 56,835.78 : x
  2. Step 2: Convert to fraction form
    99,276.93/137,002.47 = 56,835.78/x
  3. Step 3: Cross multiply
    99,276.93x = 137,002.47 × 56,835.78
  4. Step 4: Simplify right side
    99,276.93x = 7,786,642,244.38
  5. Step 5: Solve for x
    x = 7,786,642,244.38/99,276.93
  6. Step 6: Final answer
    x = 78,433.55

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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.