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Finding the Fourth Proportional to 94,456.82, 130,349.76 and 52,015

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Solution

The fourth proportional to 94,456.82, 130,349.76 and 52,015 is: 71,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,456.82 : 130,349.76 = 52,015 : x
  2. Step 2: Convert to fraction form
    94,456.82/130,349.76 = 52,015/x
  3. Step 3: Cross multiply
    94,456.82x = 130,349.76 × 52,015
  4. Step 4: Simplify right side
    94,456.82x = 6,780,142,766.40
  5. Step 5: Solve for x
    x = 6,780,142,766.40/94,456.82
  6. Step 6: Final answer
    x = 71,780.34

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1.5x scale

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.