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Finding the Fourth Proportional to 96,987.76, 133,838.22 and 54,543.76

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Solution

The fourth proportional to 96,987.76, 133,838.22 and 54,543.76 is: 75,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,987.76 : 133,838.22 = 54,543.76 : x
  2. Step 2: Convert to fraction form
    96,987.76/133,838.22 = 54,543.76/x
  3. Step 3: Cross multiply
    96,987.76x = 133,838.22 × 54,543.76
  4. Step 4: Simplify right side
    96,987.76x = 7,300,039,750.51
  5. Step 5: Solve for x
    x = 7,300,039,750.51/96,987.76
  6. Step 6: Final answer
    x = 75,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.