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Finding the Fourth Proportional to 85,612.40, 128,432.32 and 26,434.16

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Solution

The fourth proportional to 85,612.40, 128,432.32 and 26,434.16 is: 39,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,612.40 : 128,432.32 = 26,434.16 : x
  2. Step 2: Convert to fraction form
    85,612.40/128,432.32 = 26,434.16/x
  3. Step 3: Cross multiply
    85,612.40x = 128,432.32 × 26,434.16
  4. Step 4: Simplify right side
    85,612.40x = 3,395,000,496.05
  5. Step 5: Solve for x
    x = 3,395,000,496.05/85,612.40
  6. Step 6: Final answer
    x = 39,655.48

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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.