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Finding the Fourth Proportional to 32,002.96, 48,009.90 and 14,239.93

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Solution

The fourth proportional to 32,002.96, 48,009.90 and 14,239.93 is: 21,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.96 : 48,009.90 = 14,239.93 : x
  2. Step 2: Convert to fraction form
    32,002.96/48,009.90 = 14,239.93/x
  3. Step 3: Cross multiply
    32,002.96x = 48,009.90 × 14,239.93
  4. Step 4: Simplify right side
    32,002.96x = 683,657,615.31
  5. Step 5: Solve for x
    x = 683,657,615.31/32,002.96
  6. Step 6: Final answer
    x = 21,362.32

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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.