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Finding the Fourth Proportional to 91,541.84, 137,542.82 and 58,276.76

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Solution

The fourth proportional to 91,541.84, 137,542.82 and 58,276.76 is: 87,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,541.84 : 137,542.82 = 58,276.76 : x
  2. Step 2: Convert to fraction form
    91,541.84/137,542.82 = 58,276.76/x
  3. Step 3: Cross multiply
    91,541.84x = 137,542.82 × 58,276.76
  4. Step 4: Simplify right side
    91,541.84x = 8,015,549,910.86
  5. Step 5: Solve for x
    x = 8,015,549,910.86/91,541.84
  6. Step 6: Final answer
    x = 87,561.60

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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.