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Finding the Fourth Proportional to 57,053.69, 78,728.03 and 31,556

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Solution

The fourth proportional to 57,053.69, 78,728.03 and 31,556 is: 43,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.69 : 78,728.03 = 31,556 : x
  2. Step 2: Convert to fraction form
    57,053.69/78,728.03 = 31,556/x
  3. Step 3: Cross multiply
    57,053.69x = 78,728.03 × 31,556
  4. Step 4: Simplify right side
    57,053.69x = 2,484,341,556.90
  5. Step 5: Solve for x
    x = 2,484,341,556.90/57,053.69
  6. Step 6: Final answer
    x = 43,543.93

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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.