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Finding the Fourth Proportional to 37,498.80, 56,249.22 and 16,428

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Solution

The fourth proportional to 37,498.80, 56,249.22 and 16,428 is: 24,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,498.80 : 56,249.22 = 16,428 : x
  2. Step 2: Convert to fraction form
    37,498.80/56,249.22 = 16,428/x
  3. Step 3: Cross multiply
    37,498.80x = 56,249.22 × 16,428
  4. Step 4: Simplify right side
    37,498.80x = 924,062,186.16
  5. Step 5: Solve for x
    x = 924,062,186.16/37,498.80
  6. Step 6: Final answer
    x = 24,642.45

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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.