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Finding the Fourth Proportional to 70,342.64, 105,543.12 and 32,875.28

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Solution

The fourth proportional to 70,342.64, 105,543.12 and 32,875.28 is: 49,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342.64 : 105,543.12 = 32,875.28 : x
  2. Step 2: Convert to fraction form
    70,342.64/105,543.12 = 32,875.28/x
  3. Step 3: Cross multiply
    70,342.64x = 105,543.12 × 32,875.28
  4. Step 4: Simplify right side
    70,342.64x = 3,469,759,622.07
  5. Step 5: Solve for x
    x = 3,469,759,622.07/70,342.64
  6. Step 6: Final answer
    x = 49,326.55

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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.