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Finding the Fourth Proportional to 92,235.12, 138,349.44 and 29,904

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Solution

The fourth proportional to 92,235.12, 138,349.44 and 29,904 is: 44,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,235.12 : 138,349.44 = 29,904 : x
  2. Step 2: Convert to fraction form
    92,235.12/138,349.44 = 29,904/x
  3. Step 3: Cross multiply
    92,235.12x = 138,349.44 × 29,904
  4. Step 4: Simplify right side
    92,235.12x = 4,137,201,653.76
  5. Step 5: Solve for x
    x = 4,137,201,653.76/92,235.12
  6. Step 6: Final answer
    x = 44,854.95

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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.