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Finding the Fourth Proportional to 70,467.60, 105,710.52 and 23,066.40

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Solution

The fourth proportional to 70,467.60, 105,710.52 and 23,066.40 is: 34,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,467.60 : 105,710.52 = 23,066.40 : x
  2. Step 2: Convert to fraction form
    70,467.60/105,710.52 = 23,066.40/x
  3. Step 3: Cross multiply
    70,467.60x = 105,710.52 × 23,066.40
  4. Step 4: Simplify right side
    70,467.60x = 2,438,361,138.53
  5. Step 5: Solve for x
    x = 2,438,361,138.53/70,467.60
  6. Step 6: Final answer
    x = 34,602.59

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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.