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Finding the Fourth Proportional to 75,768.51, 113,489.95 and 61,472.82

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Solution

The fourth proportional to 75,768.51, 113,489.95 and 61,472.82 is: 92,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768.51 : 113,489.95 = 61,472.82 : x
  2. Step 2: Convert to fraction form
    75,768.51/113,489.95 = 61,472.82/x
  3. Step 3: Cross multiply
    75,768.51x = 113,489.95 × 61,472.82
  4. Step 4: Simplify right side
    75,768.51x = 6,976,546,547.03
  5. Step 5: Solve for x
    x = 6,976,546,547.03/75,768.51
  6. Step 6: Final answer
    x = 92,077.13

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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.