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Finding the Fourth Proportional to 70,416.84, 105,470.46 and 66,534.96

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Solution

The fourth proportional to 70,416.84, 105,470.46 and 66,534.96 is: 99,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.84 : 105,470.46 = 66,534.96 : x
  2. Step 2: Convert to fraction form
    70,416.84/105,470.46 = 66,534.96/x
  3. Step 3: Cross multiply
    70,416.84x = 105,470.46 × 66,534.96
  4. Step 4: Simplify right side
    70,416.84x = 7,017,472,837.28
  5. Step 5: Solve for x
    x = 7,017,472,837.28/70,416.84
  6. Step 6: Final answer
    x = 99,656.17

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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.