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Finding the Fourth Proportional to 32,654.16, 45,062.92 and 19,226

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Solution

The fourth proportional to 32,654.16, 45,062.92 and 19,226 is: 26,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.16 : 45,062.92 = 19,226 : x
  2. Step 2: Convert to fraction form
    32,654.16/45,062.92 = 19,226/x
  3. Step 3: Cross multiply
    32,654.16x = 45,062.92 × 19,226
  4. Step 4: Simplify right side
    32,654.16x = 866,379,699.92
  5. Step 5: Solve for x
    x = 866,379,699.92/32,654.16
  6. Step 6: Final answer
    x = 26,531.99

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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.