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Finding the Fourth Proportional to 83,275.96, 114,888.55 and 53,055.87

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Solution

The fourth proportional to 83,275.96, 114,888.55 and 53,055.87 is: 73,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.96 : 114,888.55 = 53,055.87 : x
  2. Step 2: Convert to fraction form
    83,275.96/114,888.55 = 53,055.87/x
  3. Step 3: Cross multiply
    83,275.96x = 114,888.55 × 53,055.87
  4. Step 4: Simplify right side
    83,275.96x = 6,095,511,708.01
  5. Step 5: Solve for x
    x = 6,095,511,708.01/83,275.96
  6. Step 6: Final answer
    x = 73,196.53

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1.5x scale

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.