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Finding the Fourth Proportional to 52,409.60, 78,614.40 and 34,913.60

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Solution

The fourth proportional to 52,409.60, 78,614.40 and 34,913.60 is: 52,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.60 : 78,614.40 = 34,913.60 : x
  2. Step 2: Convert to fraction form
    52,409.60/78,614.40 = 34,913.60/x
  3. Step 3: Cross multiply
    52,409.60x = 78,614.40 × 34,913.60
  4. Step 4: Simplify right side
    52,409.60x = 2,744,711,715.84
  5. Step 5: Solve for x
    x = 2,744,711,715.84/52,409.60
  6. Step 6: Final answer
    x = 52,370.40

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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.