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Finding the Fourth Proportional to 58,503.14, 87,700.85 and 31,810.12

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Solution

The fourth proportional to 58,503.14, 87,700.85 and 31,810.12 is: 47,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,503.14 : 87,700.85 = 31,810.12 : x
  2. Step 2: Convert to fraction form
    58,503.14/87,700.85 = 31,810.12/x
  3. Step 3: Cross multiply
    58,503.14x = 87,700.85 × 31,810.12
  4. Step 4: Simplify right side
    58,503.14x = 2,789,774,393.05
  5. Step 5: Solve for x
    x = 2,789,774,393.05/58,503.14
  6. Step 6: Final answer
    x = 47,685.89

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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.