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Finding the Fourth Proportional to 102,589.32, 153,952.71 and 36,029.70

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Solution

The fourth proportional to 102,589.32, 153,952.71 and 36,029.70 is: 54,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,589.32 : 153,952.71 = 36,029.70 : x
  2. Step 2: Convert to fraction form
    102,589.32/153,952.71 = 36,029.70/x
  3. Step 3: Cross multiply
    102,589.32x = 153,952.71 × 36,029.70
  4. Step 4: Simplify right side
    102,589.32x = 5,546,869,955.49
  5. Step 5: Solve for x
    x = 5,546,869,955.49/102,589.32
  6. Step 6: Final answer
    x = 54,068.69

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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.