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Finding the Fourth Proportional to 82,615.14, 114,009.93 and 44,890.02

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Solution

The fourth proportional to 82,615.14, 114,009.93 and 44,890.02 is: 61,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,615.14 : 114,009.93 = 44,890.02 : x
  2. Step 2: Convert to fraction form
    82,615.14/114,009.93 = 44,890.02/x
  3. Step 3: Cross multiply
    82,615.14x = 114,009.93 × 44,890.02
  4. Step 4: Simplify right side
    82,615.14x = 5,117,908,037.90
  5. Step 5: Solve for x
    x = 5,117,908,037.90/82,615.14
  6. Step 6: Final answer
    x = 61,948.79

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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.