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Finding the Fourth Proportional to 56,032.69, 77,324.10 and 30,539.29

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Solution

The fourth proportional to 56,032.69, 77,324.10 and 30,539.29 is: 42,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032.69 : 77,324.10 = 30,539.29 : x
  2. Step 2: Convert to fraction form
    56,032.69/77,324.10 = 30,539.29/x
  3. Step 3: Cross multiply
    56,032.69x = 77,324.10 × 30,539.29
  4. Step 4: Simplify right side
    56,032.69x = 2,361,423,113.89
  5. Step 5: Solve for x
    x = 2,361,423,113.89/56,032.69
  6. Step 6: Final answer
    x = 42,143.67

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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.