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Finding the Fourth Proportional to 70,409.27, 105,835.35 and 61,164.42

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Solution

The fourth proportional to 70,409.27, 105,835.35 and 61,164.42 is: 91,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.27 : 105,835.35 = 61,164.42 : x
  2. Step 2: Convert to fraction form
    70,409.27/105,835.35 = 61,164.42/x
  3. Step 3: Cross multiply
    70,409.27x = 105,835.35 × 61,164.42
  4. Step 4: Simplify right side
    70,409.27x = 6,473,356,963.25
  5. Step 5: Solve for x
    x = 6,473,356,963.25/70,409.27
  6. Step 6: Final answer
    x = 91,938.98

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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.