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Finding the Fourth Proportional to 46,177.84, 63,713.64 and 28,266.40

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Solution

The fourth proportional to 46,177.84, 63,713.64 and 28,266.40 is: 39,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,177.84 : 63,713.64 = 28,266.40 : x
  2. Step 2: Convert to fraction form
    46,177.84/63,713.64 = 28,266.40/x
  3. Step 3: Cross multiply
    46,177.84x = 63,713.64 × 28,266.40
  4. Step 4: Simplify right side
    46,177.84x = 1,800,955,233.70
  5. Step 5: Solve for x
    x = 1,800,955,233.70/46,177.84
  6. Step 6: Final answer
    x = 39,000.42

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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.