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Finding the Fourth Proportional to 75,322.71, 112,987.81 and 24,717.25

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Solution

The fourth proportional to 75,322.71, 112,987.81 and 24,717.25 is: 37,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.71 : 112,987.81 = 24,717.25 : x
  2. Step 2: Convert to fraction form
    75,322.71/112,987.81 = 24,717.25/x
  3. Step 3: Cross multiply
    75,322.71x = 112,987.81 × 24,717.25
  4. Step 4: Simplify right side
    75,322.71x = 2,792,748,118.85
  5. Step 5: Solve for x
    x = 2,792,748,118.85/75,322.71
  6. Step 6: Final answer
    x = 37,077.11

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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.