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Finding the Fourth Proportional to 32,001.30, 48,016.35 and 14,462.10

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Solution

The fourth proportional to 32,001.30, 48,016.35 and 14,462.10 is: 21,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.30 : 48,016.35 = 14,462.10 : x
  2. Step 2: Convert to fraction form
    32,001.30/48,016.35 = 14,462.10/x
  3. Step 3: Cross multiply
    32,001.30x = 48,016.35 × 14,462.10
  4. Step 4: Simplify right side
    32,001.30x = 694,417,255.34
  5. Step 5: Solve for x
    x = 694,417,255.34/32,001.30
  6. Step 6: Final answer
    x = 21,699.66

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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.