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Finding the Fourth Proportional to 37,669.60, 56,506.56 and 11,377

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Solution

The fourth proportional to 37,669.60, 56,506.56 and 11,377 is: 17,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669.60 : 56,506.56 = 11,377 : x
  2. Step 2: Convert to fraction form
    37,669.60/56,506.56 = 11,377/x
  3. Step 3: Cross multiply
    37,669.60x = 56,506.56 × 11,377
  4. Step 4: Simplify right side
    37,669.60x = 642,875,133.12
  5. Step 5: Solve for x
    x = 642,875,133.12/37,669.60
  6. Step 6: Final answer
    x = 17,066.15

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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.