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Finding the Fourth Proportional to 75,212.97, 112,743.51 and 47,152.74

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Solution

The fourth proportional to 75,212.97, 112,743.51 and 47,152.74 is: 70,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.97 : 112,743.51 = 47,152.74 : x
  2. Step 2: Convert to fraction form
    75,212.97/112,743.51 = 47,152.74/x
  3. Step 3: Cross multiply
    75,212.97x = 112,743.51 × 47,152.74
  4. Step 4: Simplify right side
    75,212.97x = 5,316,165,413.72
  5. Step 5: Solve for x
    x = 5,316,165,413.72/75,212.97
  6. Step 6: Final answer
    x = 70,681.50

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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.