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Finding the Fourth Proportional to 57,437.72, 86,146.86 and 15,875

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Solution

The fourth proportional to 57,437.72, 86,146.86 and 15,875 is: 23,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,437.72 : 86,146.86 = 15,875 : x
  2. Step 2: Convert to fraction form
    57,437.72/86,146.86 = 15,875/x
  3. Step 3: Cross multiply
    57,437.72x = 86,146.86 × 15,875
  4. Step 4: Simplify right side
    57,437.72x = 1,367,581,402.50
  5. Step 5: Solve for x
    x = 1,367,581,402.50/57,437.72
  6. Step 6: Final answer
    x = 23,809.81

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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.