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Finding the Fourth Proportional to 32,192.40, 48,302.47 and 17,411.72

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Solution

The fourth proportional to 32,192.40, 48,302.47 and 17,411.72 is: 26,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.40 : 48,302.47 = 17,411.72 : x
  2. Step 2: Convert to fraction form
    32,192.40/48,302.47 = 17,411.72/x
  3. Step 3: Cross multiply
    32,192.40x = 48,302.47 × 17,411.72
  4. Step 4: Simplify right side
    32,192.40x = 841,028,995.89
  5. Step 5: Solve for x
    x = 841,028,995.89/32,192.40
  6. Step 6: Final answer
    x = 26,125.08

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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.