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Finding the Fourth Proportional to 34,875.68, 52,313.66 and 8,580.34

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Solution

The fourth proportional to 34,875.68, 52,313.66 and 8,580.34 is: 12,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875.68 : 52,313.66 = 8,580.34 : x
  2. Step 2: Convert to fraction form
    34,875.68/52,313.66 = 8,580.34/x
  3. Step 3: Cross multiply
    34,875.68x = 52,313.66 × 8,580.34
  4. Step 4: Simplify right side
    34,875.68x = 448,869,092.38
  5. Step 5: Solve for x
    x = 448,869,092.38/34,875.68
  6. Step 6: Final answer
    x = 12,870.55

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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.