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Finding the Fourth Proportional to 70,657.04, 105,754.80 and 51,932.12

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Solution

The fourth proportional to 70,657.04, 105,754.80 and 51,932.12 is: 77,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.04 : 105,754.80 = 51,932.12 : x
  2. Step 2: Convert to fraction form
    70,657.04/105,754.80 = 51,932.12/x
  3. Step 3: Cross multiply
    70,657.04x = 105,754.80 × 51,932.12
  4. Step 4: Simplify right side
    70,657.04x = 5,492,070,964.18
  5. Step 5: Solve for x
    x = 5,492,070,964.18/70,657.04
  6. Step 6: Final answer
    x = 77,728.57

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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.