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Finding the Fourth Proportional to 76,244.82, 105,214.81 and 42,254.76

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Solution

The fourth proportional to 76,244.82, 105,214.81 and 42,254.76 is: 58,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,244.82 : 105,214.81 = 42,254.76 : x
  2. Step 2: Convert to fraction form
    76,244.82/105,214.81 = 42,254.76/x
  3. Step 3: Cross multiply
    76,244.82x = 105,214.81 × 42,254.76
  4. Step 4: Simplify right side
    76,244.82x = 4,445,826,545.00
  5. Step 5: Solve for x
    x = 4,445,826,545.00/76,244.82
  6. Step 6: Final answer
    x = 58,309.88

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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.