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Finding the Fourth Proportional to 30,750.50, 46,125.75 and 8,862.50

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Solution

The fourth proportional to 30,750.50, 46,125.75 and 8,862.50 is: 13,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.50 : 46,125.75 = 8,862.50 : x
  2. Step 2: Convert to fraction form
    30,750.50/46,125.75 = 8,862.50/x
  3. Step 3: Cross multiply
    30,750.50x = 46,125.75 × 8,862.50
  4. Step 4: Simplify right side
    30,750.50x = 408,789,459.38
  5. Step 5: Solve for x
    x = 408,789,459.38/30,750.50
  6. Step 6: Final answer
    x = 13,293.75

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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.