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Finding the Fourth Proportional to 70,298.95, 105,445.35 and 20,377.96

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Solution

The fourth proportional to 70,298.95, 105,445.35 and 20,377.96 is: 30,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298.95 : 105,445.35 = 20,377.96 : x
  2. Step 2: Convert to fraction form
    70,298.95/105,445.35 = 20,377.96/x
  3. Step 3: Cross multiply
    70,298.95x = 105,445.35 × 20,377.96
  4. Step 4: Simplify right side
    70,298.95x = 2,148,761,124.49
  5. Step 5: Solve for x
    x = 2,148,761,124.49/70,298.95
  6. Step 6: Final answer
    x = 30,566.05

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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.