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Finding the Fourth Proportional to 45,200, 62,376 and 26,337.13

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Solution

The fourth proportional to 45,200, 62,376 and 26,337.13 is: 36,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,200 : 62,376 = 26,337.13 : x
  2. Step 2: Convert to fraction form
    45,200/62,376 = 26,337.13/x
  3. Step 3: Cross multiply
    45,200x = 62,376 × 26,337.13
  4. Step 4: Simplify right side
    45,200x = 1,642,804,820.88
  5. Step 5: Solve for x
    x = 1,642,804,820.88/45,200
  6. Step 6: Final answer
    x = 36,345.24

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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.