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Finding the Fourth Proportional to 43,686.40, 65,432.40 and 37,854.40

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Solution

The fourth proportional to 43,686.40, 65,432.40 and 37,854.40 is: 56,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686.40 : 65,432.40 = 37,854.40 : x
  2. Step 2: Convert to fraction form
    43,686.40/65,432.40 = 37,854.40/x
  3. Step 3: Cross multiply
    43,686.40x = 65,432.40 × 37,854.40
  4. Step 4: Simplify right side
    43,686.40x = 2,476,904,242.56
  5. Step 5: Solve for x
    x = 2,476,904,242.56/43,686.40
  6. Step 6: Final answer
    x = 56,697.38

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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.