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Finding the Fourth Proportional to 75,402.48, 113,025 and 25,465.36

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Solution

The fourth proportional to 75,402.48, 113,025 and 25,465.36 is: 38,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402.48 : 113,025 = 25,465.36 : x
  2. Step 2: Convert to fraction form
    75,402.48/113,025 = 25,465.36/x
  3. Step 3: Cross multiply
    75,402.48x = 113,025 × 25,465.36
  4. Step 4: Simplify right side
    75,402.48x = 2,878,222,314
  5. Step 5: Solve for x
    x = 2,878,222,314/75,402.48
  6. Step 6: Final answer
    x = 38,171.45

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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.