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Finding the Fourth Proportional to 70,456.52, 105,684.96 and 23,742.20

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Solution

The fourth proportional to 70,456.52, 105,684.96 and 23,742.20 is: 35,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,456.52 : 105,684.96 = 23,742.20 : x
  2. Step 2: Convert to fraction form
    70,456.52/105,684.96 = 23,742.20/x
  3. Step 3: Cross multiply
    70,456.52x = 105,684.96 × 23,742.20
  4. Step 4: Simplify right side
    70,456.52x = 2,509,193,457.31
  5. Step 5: Solve for x
    x = 2,509,193,457.31/70,456.52
  6. Step 6: Final answer
    x = 35,613.36

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1.5x scale

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.