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Finding the Fourth Proportional to 87,124, 130,686.64 and 21,460

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Solution

The fourth proportional to 87,124, 130,686.64 and 21,460 is: 32,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,124 : 130,686.64 = 21,460 : x
  2. Step 2: Convert to fraction form
    87,124/130,686.64 = 21,460/x
  3. Step 3: Cross multiply
    87,124x = 130,686.64 × 21,460
  4. Step 4: Simplify right side
    87,124x = 2,804,535,294.40
  5. Step 5: Solve for x
    x = 2,804,535,294.40/87,124
  6. Step 6: Final answer
    x = 32,190.16

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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.