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Finding the Fourth Proportional to 47,594.62, 65,531.10 and 40,409.74

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Solution

The fourth proportional to 47,594.62, 65,531.10 and 40,409.74 is: 55,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594.62 : 65,531.10 = 40,409.74 : x
  2. Step 2: Convert to fraction form
    47,594.62/65,531.10 = 40,409.74/x
  3. Step 3: Cross multiply
    47,594.62x = 65,531.10 × 40,409.74
  4. Step 4: Simplify right side
    47,594.62x = 2,648,094,712.91
  5. Step 5: Solve for x
    x = 2,648,094,712.91/47,594.62
  6. Step 6: Final answer
    x = 55,638.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.