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Finding the Fourth Proportional to 76,282.88, 105,280.68 and 44,461.76

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Solution

The fourth proportional to 76,282.88, 105,280.68 and 44,461.76 is: 61,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,282.88 : 105,280.68 = 44,461.76 : x
  2. Step 2: Convert to fraction form
    76,282.88/105,280.68 = 44,461.76/x
  3. Step 3: Cross multiply
    76,282.88x = 105,280.68 × 44,461.76
  4. Step 4: Simplify right side
    76,282.88x = 4,680,964,326.80
  5. Step 5: Solve for x
    x = 4,680,964,326.80/76,282.88
  6. Step 6: Final answer
    x = 61,363.24

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1.5x scale

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.