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Finding the Fourth Proportional to 102,472.19, 153,722.67 and 35,897.08

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Solution

The fourth proportional to 102,472.19, 153,722.67 and 35,897.08 is: 53,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472.19 : 153,722.67 = 35,897.08 : x
  2. Step 2: Convert to fraction form
    102,472.19/153,722.67 = 35,897.08/x
  3. Step 3: Cross multiply
    102,472.19x = 153,722.67 × 35,897.08
  4. Step 4: Simplify right side
    102,472.19x = 5,518,194,982.80
  5. Step 5: Solve for x
    x = 5,518,194,982.80/102,472.19
  6. Step 6: Final answer
    x = 53,850.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.