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Finding the Fourth Proportional to 32,776.09, 49,151.57 and 11,712.17

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Solution

The fourth proportional to 32,776.09, 49,151.57 and 11,712.17 is: 17,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.09 : 49,151.57 = 11,712.17 : x
  2. Step 2: Convert to fraction form
    32,776.09/49,151.57 = 11,712.17/x
  3. Step 3: Cross multiply
    32,776.09x = 49,151.57 × 11,712.17
  4. Step 4: Simplify right side
    32,776.09x = 575,671,543.61
  5. Step 5: Solve for x
    x = 575,671,543.61/32,776.09
  6. Step 6: Final answer
    x = 17,563.77

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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.