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Finding the Fourth Proportional to 75,498, 113,259.29 and 24,881.94

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Solution

The fourth proportional to 75,498, 113,259.29 and 24,881.94 is: 37,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498 : 113,259.29 = 24,881.94 : x
  2. Step 2: Convert to fraction form
    75,498/113,259.29 = 24,881.94/x
  3. Step 3: Cross multiply
    75,498x = 113,259.29 × 24,881.94
  4. Step 4: Simplify right side
    75,498x = 2,818,110,858.22
  5. Step 5: Solve for x
    x = 2,818,110,858.22/75,498
  6. Step 6: Final answer
    x = 37,326.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.