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Finding the Fourth Proportional to 32,557.36, 48,836.04 and 11,776

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Solution

The fourth proportional to 32,557.36, 48,836.04 and 11,776 is: 17,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.36 : 48,836.04 = 11,776 : x
  2. Step 2: Convert to fraction form
    32,557.36/48,836.04 = 11,776/x
  3. Step 3: Cross multiply
    32,557.36x = 48,836.04 × 11,776
  4. Step 4: Simplify right side
    32,557.36x = 575,093,207.04
  5. Step 5: Solve for x
    x = 575,093,207.04/32,557.36
  6. Step 6: Final answer
    x = 17,664

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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.