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Finding the Fourth Proportional to 32,145.84, 48,239.88 and 11,368.56

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Solution

The fourth proportional to 32,145.84, 48,239.88 and 11,368.56 is: 17,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.84 : 48,239.88 = 11,368.56 : x
  2. Step 2: Convert to fraction form
    32,145.84/48,239.88 = 11,368.56/x
  3. Step 3: Cross multiply
    32,145.84x = 48,239.88 × 11,368.56
  4. Step 4: Simplify right side
    32,145.84x = 548,417,970.17
  5. Step 5: Solve for x
    x = 548,417,970.17/32,145.84
  6. Step 6: Final answer
    x = 17,060.31

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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.