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Finding the Fourth Proportional to 97,663.60, 146,476.20 and 31,999.60

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Solution

The fourth proportional to 97,663.60, 146,476.20 and 31,999.60 is: 47,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,663.60 : 146,476.20 = 31,999.60 : x
  2. Step 2: Convert to fraction form
    97,663.60/146,476.20 = 31,999.60/x
  3. Step 3: Cross multiply
    97,663.60x = 146,476.20 × 31,999.60
  4. Step 4: Simplify right side
    97,663.60x = 4,687,179,809.52
  5. Step 5: Solve for x
    x = 4,687,179,809.52/97,663.60
  6. Step 6: Final answer
    x = 47,993.11

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1.5x scale

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.