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Finding the Fourth Proportional to 58,187.76, 87,200.25 and 31,476.07

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Solution

The fourth proportional to 58,187.76, 87,200.25 and 31,476.07 is: 47,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,187.76 : 87,200.25 = 31,476.07 : x
  2. Step 2: Convert to fraction form
    58,187.76/87,200.25 = 31,476.07/x
  3. Step 3: Cross multiply
    58,187.76x = 87,200.25 × 31,476.07
  4. Step 4: Simplify right side
    58,187.76x = 2,744,721,173.02
  5. Step 5: Solve for x
    x = 2,744,721,173.02/58,187.76
  6. Step 6: Final answer
    x = 47,170.08

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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.