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Finding the Fourth Proportional to 42,471.15, 63,714.41 and 17,497.32

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Solution

The fourth proportional to 42,471.15, 63,714.41 and 17,497.32 is: 26,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.15 : 63,714.41 = 17,497.32 : x
  2. Step 2: Convert to fraction form
    42,471.15/63,714.41 = 17,497.32/x
  3. Step 3: Cross multiply
    42,471.15x = 63,714.41 × 17,497.32
  4. Step 4: Simplify right side
    42,471.15x = 1,114,831,332.89
  5. Step 5: Solve for x
    x = 1,114,831,332.89/42,471.15
  6. Step 6: Final answer
    x = 26,249.14

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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.