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Finding the Fourth Proportional to 83,053.81, 114,612.65 and 45,328.33

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Solution

The fourth proportional to 83,053.81, 114,612.65 and 45,328.33 is: 62,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,053.81 : 114,612.65 = 45,328.33 : x
  2. Step 2: Convert to fraction form
    83,053.81/114,612.65 = 45,328.33/x
  3. Step 3: Cross multiply
    83,053.81x = 114,612.65 × 45,328.33
  4. Step 4: Simplify right side
    83,053.81x = 5,195,199,448.31
  5. Step 5: Solve for x
    x = 5,195,199,448.31/83,053.81
  6. Step 6: Final answer
    x = 62,552.21

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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.