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Finding the Fourth Proportional to 64,294.01, 96,413.96 and 24,306.26

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Solution

The fourth proportional to 64,294.01, 96,413.96 and 24,306.26 is: 36,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294.01 : 96,413.96 = 24,306.26 : x
  2. Step 2: Convert to fraction form
    64,294.01/96,413.96 = 24,306.26/x
  3. Step 3: Cross multiply
    64,294.01x = 96,413.96 × 24,306.26
  4. Step 4: Simplify right side
    64,294.01x = 2,343,462,175.79
  5. Step 5: Solve for x
    x = 2,343,462,175.79/64,294.01
  6. Step 6: Final answer
    x = 36,449.16

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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.