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Finding the Fourth Proportional to 32,854.32, 49,316.55 and 14,143.62

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Solution

The fourth proportional to 32,854.32, 49,316.55 and 14,143.62 is: 21,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.32 : 49,316.55 = 14,143.62 : x
  2. Step 2: Convert to fraction form
    32,854.32/49,316.55 = 14,143.62/x
  3. Step 3: Cross multiply
    32,854.32x = 49,316.55 × 14,143.62
  4. Step 4: Simplify right side
    32,854.32x = 697,514,542.91
  5. Step 5: Solve for x
    x = 697,514,542.91/32,854.32
  6. Step 6: Final answer
    x = 21,230.53

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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.