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Finding the Fourth Proportional to 51,646.32, 71,266.04 and 28,980.62

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Solution

The fourth proportional to 51,646.32, 71,266.04 and 28,980.62 is: 39,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.32 : 71,266.04 = 28,980.62 : x
  2. Step 2: Convert to fraction form
    51,646.32/71,266.04 = 28,980.62/x
  3. Step 3: Cross multiply
    51,646.32x = 71,266.04 × 28,980.62
  4. Step 4: Simplify right side
    51,646.32x = 2,065,334,024.14
  5. Step 5: Solve for x
    x = 2,065,334,024.14/51,646.32
  6. Step 6: Final answer
    x = 39,989.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.