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Finding the Fourth Proportional to 52,654.32, 72,654.84 and 30,294

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Solution

The fourth proportional to 52,654.32, 72,654.84 and 30,294 is: 41,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.32 : 72,654.84 = 30,294 : x
  2. Step 2: Convert to fraction form
    52,654.32/72,654.84 = 30,294/x
  3. Step 3: Cross multiply
    52,654.32x = 72,654.84 × 30,294
  4. Step 4: Simplify right side
    52,654.32x = 2,201,005,722.96
  5. Step 5: Solve for x
    x = 2,201,005,722.96/52,654.32
  6. Step 6: Final answer
    x = 41,801.05

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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.