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Finding the Fourth Proportional to 32,001.96, 48,008.40 and 14,238.93

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Solution

The fourth proportional to 32,001.96, 48,008.40 and 14,238.93 is: 21,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.96 : 48,008.40 = 14,238.93 : x
  2. Step 2: Convert to fraction form
    32,001.96/48,008.40 = 14,238.93/x
  3. Step 3: Cross multiply
    32,001.96x = 48,008.40 × 14,238.93
  4. Step 4: Simplify right side
    32,001.96x = 683,588,247.01
  5. Step 5: Solve for x
    x = 683,588,247.01/32,001.96
  6. Step 6: Final answer
    x = 21,360.82

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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.