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Finding the Fourth Proportional to 82,756.13, 114,205.28 and 45,030.38

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Solution

The fourth proportional to 82,756.13, 114,205.28 and 45,030.38 is: 62,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,756.13 : 114,205.28 = 45,030.38 : x
  2. Step 2: Convert to fraction form
    82,756.13/114,205.28 = 45,030.38/x
  3. Step 3: Cross multiply
    82,756.13x = 114,205.28 × 45,030.38
  4. Step 4: Simplify right side
    82,756.13x = 5,142,706,360.23
  5. Step 5: Solve for x
    x = 5,142,706,360.23/82,756.13
  6. Step 6: Final answer
    x = 62,142.91

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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.