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Finding the Fourth Proportional to 83,722.84, 125,482.10 and 46,281.40

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Solution

The fourth proportional to 83,722.84, 125,482.10 and 46,281.40 is: 69,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.84 : 125,482.10 = 46,281.40 : x
  2. Step 2: Convert to fraction form
    83,722.84/125,482.10 = 46,281.40/x
  3. Step 3: Cross multiply
    83,722.84x = 125,482.10 × 46,281.40
  4. Step 4: Simplify right side
    83,722.84x = 5,807,487,262.94
  5. Step 5: Solve for x
    x = 5,807,487,262.94/83,722.84
  6. Step 6: Final answer
    x = 69,365.63

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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.