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Finding the Fourth Proportional to 78,411.70, 117,617.55 and 25,822.90

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Solution

The fourth proportional to 78,411.70, 117,617.55 and 25,822.90 is: 38,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.70 : 117,617.55 = 25,822.90 : x
  2. Step 2: Convert to fraction form
    78,411.70/117,617.55 = 25,822.90/x
  3. Step 3: Cross multiply
    78,411.70x = 117,617.55 × 25,822.90
  4. Step 4: Simplify right side
    78,411.70x = 3,037,226,231.90
  5. Step 5: Solve for x
    x = 3,037,226,231.90/78,411.70
  6. Step 6: Final answer
    x = 38,734.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.