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Finding the Fourth Proportional to 32,374.35, 48,567.66 and 12,651.66

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Solution

The fourth proportional to 32,374.35, 48,567.66 and 12,651.66 is: 18,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.35 : 48,567.66 = 12,651.66 : x
  2. Step 2: Convert to fraction form
    32,374.35/48,567.66 = 12,651.66/x
  3. Step 3: Cross multiply
    32,374.35x = 48,567.66 × 12,651.66
  4. Step 4: Simplify right side
    32,374.35x = 614,461,521.32
  5. Step 5: Solve for x
    x = 614,461,521.32/32,374.35
  6. Step 6: Final answer
    x = 18,979.89

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Why These Related Problems?

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