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Finding the Fourth Proportional to 29,407.15, 40,582.05 and 15,978.44

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Solution

The fourth proportional to 29,407.15, 40,582.05 and 15,978.44 is: 22,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.15 : 40,582.05 = 15,978.44 : x
  2. Step 2: Convert to fraction form
    29,407.15/40,582.05 = 15,978.44/x
  3. Step 3: Cross multiply
    29,407.15x = 40,582.05 × 15,978.44
  4. Step 4: Simplify right side
    29,407.15x = 648,437,720.38
  5. Step 5: Solve for x
    x = 648,437,720.38/29,407.15
  6. Step 6: Final answer
    x = 22,050.34

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1.5x scale

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.