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Finding the Fourth Proportional to 32,805.12, 45,292.80 and 20,248.32

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Solution

The fourth proportional to 32,805.12, 45,292.80 and 20,248.32 is: 27,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.12 : 45,292.80 = 20,248.32 : x
  2. Step 2: Convert to fraction form
    32,805.12/45,292.80 = 20,248.32/x
  3. Step 3: Cross multiply
    32,805.12x = 45,292.80 × 20,248.32
  4. Step 4: Simplify right side
    32,805.12x = 917,103,108.10
  5. Step 5: Solve for x
    x = 917,103,108.10/32,805.12
  6. Step 6: Final answer
    x = 27,956.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.