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Finding the Fourth Proportional to 70,931.61, 106,413.93 and 24,184.53

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Solution

The fourth proportional to 70,931.61, 106,413.93 and 24,184.53 is: 36,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,931.61 : 106,413.93 = 24,184.53 : x
  2. Step 2: Convert to fraction form
    70,931.61/106,413.93 = 24,184.53/x
  3. Step 3: Cross multiply
    70,931.61x = 106,413.93 × 24,184.53
  4. Step 4: Simplify right side
    70,931.61x = 2,573,570,882.50
  5. Step 5: Solve for x
    x = 2,573,570,882.50/70,931.61
  6. Step 6: Final answer
    x = 36,282.43

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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.