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Finding the Fourth Proportional to 65,123.76, 89,828.28 and 41,225.52

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Solution

The fourth proportional to 65,123.76, 89,828.28 and 41,225.52 is: 56,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.76 : 89,828.28 = 41,225.52 : x
  2. Step 2: Convert to fraction form
    65,123.76/89,828.28 = 41,225.52/x
  3. Step 3: Cross multiply
    65,123.76x = 89,828.28 × 41,225.52
  4. Step 4: Simplify right side
    65,123.76x = 3,703,217,553.71
  5. Step 5: Solve for x
    x = 3,703,217,553.71/65,123.76
  6. Step 6: Final answer
    x = 56,864.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.