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Finding the Fourth Proportional to 52,407.50, 78,598.10 and 22,406.91

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Solution

The fourth proportional to 52,407.50, 78,598.10 and 22,406.91 is: 33,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.50 : 78,598.10 = 22,406.91 : x
  2. Step 2: Convert to fraction form
    52,407.50/78,598.10 = 22,406.91/x
  3. Step 3: Cross multiply
    52,407.50x = 78,598.10 × 22,406.91
  4. Step 4: Simplify right side
    52,407.50x = 1,761,140,440.84
  5. Step 5: Solve for x
    x = 1,761,140,440.84/52,407.50
  6. Step 6: Final answer
    x = 33,604.74

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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.