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Finding the Fourth Proportional to 102,184.47, 153,277.11 and 35,624.46

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Solution

The fourth proportional to 102,184.47, 153,277.11 and 35,624.46 is: 53,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,184.47 : 153,277.11 = 35,624.46 : x
  2. Step 2: Convert to fraction form
    102,184.47/153,277.11 = 35,624.46/x
  3. Step 3: Cross multiply
    102,184.47x = 153,277.11 × 35,624.46
  4. Step 4: Simplify right side
    102,184.47x = 5,460,414,274.11
  5. Step 5: Solve for x
    x = 5,460,414,274.11/102,184.47
  6. Step 6: Final answer
    x = 53,436.83

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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.