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Finding the Fourth Proportional to 48,894.84, 67,475.84 and 31,909.95

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Solution

The fourth proportional to 48,894.84, 67,475.84 and 31,909.95 is: 44,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894.84 : 67,475.84 = 31,909.95 : x
  2. Step 2: Convert to fraction form
    48,894.84/67,475.84 = 31,909.95/x
  3. Step 3: Cross multiply
    48,894.84x = 67,475.84 × 31,909.95
  4. Step 4: Simplify right side
    48,894.84x = 2,153,150,521.06
  5. Step 5: Solve for x
    x = 2,153,150,521.06/48,894.84
  6. Step 6: Final answer
    x = 44,036.35

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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.