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Finding the Fourth Proportional to 82,973.70, 114,510.51 and 47,174.94

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Solution

The fourth proportional to 82,973.70, 114,510.51 and 47,174.94 is: 65,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,973.70 : 114,510.51 = 47,174.94 : x
  2. Step 2: Convert to fraction form
    82,973.70/114,510.51 = 47,174.94/x
  3. Step 3: Cross multiply
    82,973.70x = 114,510.51 × 47,174.94
  4. Step 4: Simplify right side
    82,973.70x = 5,402,026,438.62
  5. Step 5: Solve for x
    x = 5,402,026,438.62/82,973.70
  6. Step 6: Final answer
    x = 65,105.29

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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.