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Finding the Fourth Proportional to 82,868.07, 114,354 and 47,053.38

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Solution

The fourth proportional to 82,868.07, 114,354 and 47,053.38 is: 64,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,868.07 : 114,354 = 47,053.38 : x
  2. Step 2: Convert to fraction form
    82,868.07/114,354 = 47,053.38/x
  3. Step 3: Cross multiply
    82,868.07x = 114,354 × 47,053.38
  4. Step 4: Simplify right side
    82,868.07x = 5,380,742,216.52
  5. Step 5: Solve for x
    x = 5,380,742,216.52/82,868.07
  6. Step 6: Final answer
    x = 64,931.43

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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.