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Finding the Fourth Proportional to 70,539.24, 105,830.46 and 23,788.20

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Solution

The fourth proportional to 70,539.24, 105,830.46 and 23,788.20 is: 35,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,539.24 : 105,830.46 = 23,788.20 : x
  2. Step 2: Convert to fraction form
    70,539.24/105,830.46 = 23,788.20/x
  3. Step 3: Cross multiply
    70,539.24x = 105,830.46 × 23,788.20
  4. Step 4: Simplify right side
    70,539.24x = 2,517,516,148.57
  5. Step 5: Solve for x
    x = 2,517,516,148.57/70,539.24
  6. Step 6: Final answer
    x = 35,689.58

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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.