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Finding the Fourth Proportional to 102,580.84, 153,869.66 and 52,632.11

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Solution

The fourth proportional to 102,580.84, 153,869.66 and 52,632.11 is: 78,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.84 : 153,869.66 = 52,632.11 : x
  2. Step 2: Convert to fraction form
    102,580.84/153,869.66 = 52,632.11/x
  3. Step 3: Cross multiply
    102,580.84x = 153,869.66 × 52,632.11
  4. Step 4: Simplify right side
    102,580.84x = 8,098,484,870.78
  5. Step 5: Solve for x
    x = 8,098,484,870.78/102,580.84
  6. Step 6: Final answer
    x = 78,947.34

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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.