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Finding the Fourth Proportional to 37,166.80, 55,752 and 14,977.16

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Solution

The fourth proportional to 37,166.80, 55,752 and 14,977.16 is: 22,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,166.80 : 55,752 = 14,977.16 : x
  2. Step 2: Convert to fraction form
    37,166.80/55,752 = 14,977.16/x
  3. Step 3: Cross multiply
    37,166.80x = 55,752 × 14,977.16
  4. Step 4: Simplify right side
    37,166.80x = 835,006,624.32
  5. Step 5: Solve for x
    x = 835,006,624.32/37,166.80
  6. Step 6: Final answer
    x = 22,466.47

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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.