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Finding the Fourth Proportional to 102,065.46, 153,085.96 and 27,191.08

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Solution

The fourth proportional to 102,065.46, 153,085.96 and 27,191.08 is: 40,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,065.46 : 153,085.96 = 27,191.08 : x
  2. Step 2: Convert to fraction form
    102,065.46/153,085.96 = 27,191.08/x
  3. Step 3: Cross multiply
    102,065.46x = 153,085.96 × 27,191.08
  4. Step 4: Simplify right side
    102,065.46x = 4,162,572,585.24
  5. Step 5: Solve for x
    x = 4,162,572,585.24/102,065.46
  6. Step 6: Final answer
    x = 40,783.36

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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.