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Finding the Fourth Proportional to 70,253.64, 96,905.70 and 49,025.16

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Solution

The fourth proportional to 70,253.64, 96,905.70 and 49,025.16 is: 67,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253.64 : 96,905.70 = 49,025.16 : x
  2. Step 2: Convert to fraction form
    70,253.64/96,905.70 = 49,025.16/x
  3. Step 3: Cross multiply
    70,253.64x = 96,905.70 × 49,025.16
  4. Step 4: Simplify right side
    70,253.64x = 4,750,817,447.41
  5. Step 5: Solve for x
    x = 4,750,817,447.41/70,253.64
  6. Step 6: Final answer
    x = 67,623.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.