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Finding the Fourth Proportional to 42,417.40, 63,652.10 and 17,469.40

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Solution

The fourth proportional to 42,417.40, 63,652.10 and 17,469.40 is: 26,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417.40 : 63,652.10 = 17,469.40 : x
  2. Step 2: Convert to fraction form
    42,417.40/63,652.10 = 17,469.40/x
  3. Step 3: Cross multiply
    42,417.40x = 63,652.10 × 17,469.40
  4. Step 4: Simplify right side
    42,417.40x = 1,111,963,995.74
  5. Step 5: Solve for x
    x = 1,111,963,995.74/42,417.40
  6. Step 6: Final answer
    x = 26,214.81

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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.