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Finding the Fourth Proportional to 102,296.48, 153,383.28 and 39,996.32

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Solution

The fourth proportional to 102,296.48, 153,383.28 and 39,996.32 is: 59,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.48 : 153,383.28 = 39,996.32 : x
  2. Step 2: Convert to fraction form
    102,296.48/153,383.28 = 39,996.32/x
  3. Step 3: Cross multiply
    102,296.48x = 153,383.28 × 39,996.32
  4. Step 4: Simplify right side
    102,296.48x = 6,134,766,749.53
  5. Step 5: Solve for x
    x = 6,134,766,749.53/102,296.48
  6. Step 6: Final answer
    x = 59,970.46

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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.