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Finding the Fourth Proportional to 32,192.57, 48,302.73 and 17,411.89

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Solution

The fourth proportional to 32,192.57, 48,302.73 and 17,411.89 is: 26,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.57 : 48,302.73 = 17,411.89 : x
  2. Step 2: Convert to fraction form
    32,192.57/48,302.73 = 17,411.89/x
  3. Step 3: Cross multiply
    32,192.57x = 48,302.73 × 17,411.89
  4. Step 4: Simplify right side
    32,192.57x = 841,041,734.40
  5. Step 5: Solve for x
    x = 841,041,734.40/32,192.57
  6. Step 6: Final answer
    x = 26,125.34

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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.