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Finding the Fourth Proportional to 58,157.34, 87,162.84 and 31,502.31

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Solution

The fourth proportional to 58,157.34, 87,162.84 and 31,502.31 is: 47,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,157.34 : 87,162.84 = 31,502.31 : x
  2. Step 2: Convert to fraction form
    58,157.34/87,162.84 = 31,502.31/x
  3. Step 3: Cross multiply
    58,157.34x = 87,162.84 × 31,502.31
  4. Step 4: Simplify right side
    58,157.34x = 2,745,830,806.16
  5. Step 5: Solve for x
    x = 2,745,830,806.16/58,157.34
  6. Step 6: Final answer
    x = 47,213.83

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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.