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Finding the Fourth Proportional to 75,588.39, 113,398.98 and 22,996.50

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Solution

The fourth proportional to 75,588.39, 113,398.98 and 22,996.50 is: 34,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588.39 : 113,398.98 = 22,996.50 : x
  2. Step 2: Convert to fraction form
    75,588.39/113,398.98 = 22,996.50/x
  3. Step 3: Cross multiply
    75,588.39x = 113,398.98 × 22,996.50
  4. Step 4: Simplify right side
    75,588.39x = 2,607,779,643.57
  5. Step 5: Solve for x
    x = 2,607,779,643.57/75,588.39
  6. Step 6: Final answer
    x = 34,499.74

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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.