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Finding the Fourth Proportional to 102,036.29, 153,055.72 and 27,155.98

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Solution

The fourth proportional to 102,036.29, 153,055.72 and 27,155.98 is: 40,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,036.29 : 153,055.72 = 27,155.98 : x
  2. Step 2: Convert to fraction form
    102,036.29/153,055.72 = 27,155.98/x
  3. Step 3: Cross multiply
    102,036.29x = 153,055.72 × 27,155.98
  4. Step 4: Simplify right side
    102,036.29x = 4,156,377,238.04
  5. Step 5: Solve for x
    x = 4,156,377,238.04/102,036.29
  6. Step 6: Final answer
    x = 40,734.30

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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.