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Finding the Fourth Proportional to 87,218, 130,828.26 and 24,888.50

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Solution

The fourth proportional to 87,218, 130,828.26 and 24,888.50 is: 37,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218 : 130,828.26 = 24,888.50 : x
  2. Step 2: Convert to fraction form
    87,218/130,828.26 = 24,888.50/x
  3. Step 3: Cross multiply
    87,218x = 130,828.26 × 24,888.50
  4. Step 4: Simplify right side
    87,218x = 3,256,119,149.01
  5. Step 5: Solve for x
    x = 3,256,119,149.01/87,218
  6. Step 6: Final answer
    x = 37,333.11

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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.