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Finding the Fourth Proportional to 83,051.81, 114,609.89 and 45,326.33

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Solution

The fourth proportional to 83,051.81, 114,609.89 and 45,326.33 is: 62,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051.81 : 114,609.89 = 45,326.33 : x
  2. Step 2: Convert to fraction form
    83,051.81/114,609.89 = 45,326.33/x
  3. Step 3: Cross multiply
    83,051.81x = 114,609.89 × 45,326.33
  4. Step 4: Simplify right side
    83,051.81x = 5,194,845,235.67
  5. Step 5: Solve for x
    x = 5,194,845,235.67/83,051.81
  6. Step 6: Final answer
    x = 62,549.46

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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.