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Finding the Fourth Proportional to 70,417.18, 105,632.70 and 20,497.78

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Solution

The fourth proportional to 70,417.18, 105,632.70 and 20,497.78 is: 30,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,417.18 : 105,632.70 = 20,497.78 : x
  2. Step 2: Convert to fraction form
    70,417.18/105,632.70 = 20,497.78/x
  3. Step 3: Cross multiply
    70,417.18x = 105,632.70 × 20,497.78
  4. Step 4: Simplify right side
    70,417.18x = 2,165,235,845.41
  5. Step 5: Solve for x
    x = 2,165,235,845.41/70,417.18
  6. Step 6: Final answer
    x = 30,748.69

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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.