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Finding the Fourth Proportional to 32,774.09, 49,148.57 and 11,710.17

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Solution

The fourth proportional to 32,774.09, 49,148.57 and 11,710.17 is: 17,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.09 : 49,148.57 = 11,710.17 : x
  2. Step 2: Convert to fraction form
    32,774.09/49,148.57 = 11,710.17/x
  3. Step 3: Cross multiply
    32,774.09x = 49,148.57 × 11,710.17
  4. Step 4: Simplify right side
    32,774.09x = 575,538,139.23
  5. Step 5: Solve for x
    x = 575,538,139.23/32,774.09
  6. Step 6: Final answer
    x = 17,560.77

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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.