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Finding the Fourth Proportional to 30,583.67, 45,875.48 and 8,397.14

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Solution

The fourth proportional to 30,583.67, 45,875.48 and 8,397.14 is: 12,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.67 : 45,875.48 = 8,397.14 : x
  2. Step 2: Convert to fraction form
    30,583.67/45,875.48 = 8,397.14/x
  3. Step 3: Cross multiply
    30,583.67x = 45,875.48 × 8,397.14
  4. Step 4: Simplify right side
    30,583.67x = 385,222,556.76
  5. Step 5: Solve for x
    x = 385,222,556.76/30,583.67
  6. Step 6: Final answer
    x = 12,595.70

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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.