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Finding the Fourth Proportional to 78,432.30, 117,582.32 and 34,025.57

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Solution

The fourth proportional to 78,432.30, 117,582.32 and 34,025.57 is: 51,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432.30 : 117,582.32 = 34,025.57 : x
  2. Step 2: Convert to fraction form
    78,432.30/117,582.32 = 34,025.57/x
  3. Step 3: Cross multiply
    78,432.30x = 117,582.32 × 34,025.57
  4. Step 4: Simplify right side
    78,432.30x = 4,000,805,459.92
  5. Step 5: Solve for x
    x = 4,000,805,459.92/78,432.30
  6. Step 6: Final answer
    x = 51,009.67

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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.