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Finding the Fourth Proportional to 77,053.43, 115,547.34 and 30,273.50

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Solution

The fourth proportional to 77,053.43, 115,547.34 and 30,273.50 is: 45,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,053.43 : 115,547.34 = 30,273.50 : x
  2. Step 2: Convert to fraction form
    77,053.43/115,547.34 = 30,273.50/x
  3. Step 3: Cross multiply
    77,053.43x = 115,547.34 × 30,273.50
  4. Step 4: Simplify right side
    77,053.43x = 3,498,022,397.49
  5. Step 5: Solve for x
    x = 3,498,022,397.49/77,053.43
  6. Step 6: Final answer
    x = 45,397.36

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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.