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Finding the Fourth Proportional to 29,830.52, 44,712.96 and 12,290.78

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Solution

The fourth proportional to 29,830.52, 44,712.96 and 12,290.78 is: 18,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.52 : 44,712.96 = 12,290.78 : x
  2. Step 2: Convert to fraction form
    29,830.52/44,712.96 = 12,290.78/x
  3. Step 3: Cross multiply
    29,830.52x = 44,712.96 × 12,290.78
  4. Step 4: Simplify right side
    29,830.52x = 549,557,154.51
  5. Step 5: Solve for x
    x = 549,557,154.51/29,830.52
  6. Step 6: Final answer
    x = 18,422.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.