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Finding the Fourth Proportional to 59,448.38, 89,165.28 and 34,502

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Solution

The fourth proportional to 59,448.38, 89,165.28 and 34,502 is: 51,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,448.38 : 89,165.28 = 34,502 : x
  2. Step 2: Convert to fraction form
    59,448.38/89,165.28 = 34,502/x
  3. Step 3: Cross multiply
    59,448.38x = 89,165.28 × 34,502
  4. Step 4: Simplify right side
    59,448.38x = 3,076,380,490.56
  5. Step 5: Solve for x
    x = 3,076,380,490.56/59,448.38
  6. Step 6: Final answer
    x = 51,748.77

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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.