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Finding the Fourth Proportional to 81,870.46, 112,975.19 and 46,053.57

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Solution

The fourth proportional to 81,870.46, 112,975.19 and 46,053.57 is: 63,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.46 : 112,975.19 = 46,053.57 : x
  2. Step 2: Convert to fraction form
    81,870.46/112,975.19 = 46,053.57/x
  3. Step 3: Cross multiply
    81,870.46x = 112,975.19 × 46,053.57
  4. Step 4: Simplify right side
    81,870.46x = 5,202,911,187.02
  5. Step 5: Solve for x
    x = 5,202,911,187.02/81,870.46
  6. Step 6: Final answer
    x = 63,550.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.