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Finding the Fourth Proportional to 70,051.32, 105,077.88 and 23,304.20

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Solution

The fourth proportional to 70,051.32, 105,077.88 and 23,304.20 is: 34,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051.32 : 105,077.88 = 23,304.20 : x
  2. Step 2: Convert to fraction form
    70,051.32/105,077.88 = 23,304.20/x
  3. Step 3: Cross multiply
    70,051.32x = 105,077.88 × 23,304.20
  4. Step 4: Simplify right side
    70,051.32x = 2,448,755,405.71
  5. Step 5: Solve for x
    x = 2,448,755,405.71/70,051.32
  6. Step 6: Final answer
    x = 34,956.59

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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.