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Finding the Fourth Proportional to 70,307.46, 105,469.38 and 24,701.15

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Solution

The fourth proportional to 70,307.46, 105,469.38 and 24,701.15 is: 37,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,307.46 : 105,469.38 = 24,701.15 : x
  2. Step 2: Convert to fraction form
    70,307.46/105,469.38 = 24,701.15/x
  3. Step 3: Cross multiply
    70,307.46x = 105,469.38 × 24,701.15
  4. Step 4: Simplify right side
    70,307.46x = 2,605,214,672.91
  5. Step 5: Solve for x
    x = 2,605,214,672.91/70,307.46
  6. Step 6: Final answer
    x = 37,054.60

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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.