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Finding the Fourth Proportional to 56,374.84, 84,488.81 and 31,413.88

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Solution

The fourth proportional to 56,374.84, 84,488.81 and 31,413.88 is: 47,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.84 : 84,488.81 = 31,413.88 : x
  2. Step 2: Convert to fraction form
    56,374.84/84,488.81 = 31,413.88/x
  3. Step 3: Cross multiply
    56,374.84x = 84,488.81 × 31,413.88
  4. Step 4: Simplify right side
    56,374.84x = 2,654,120,916.24
  5. Step 5: Solve for x
    x = 2,654,120,916.24/56,374.84
  6. Step 6: Final answer
    x = 47,079.89

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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.