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Finding the Fourth Proportional to 84,102.95, 116,064.87 and 45,864.59

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Solution

The fourth proportional to 84,102.95, 116,064.87 and 45,864.59 is: 63,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.95 : 116,064.87 = 45,864.59 : x
  2. Step 2: Convert to fraction form
    84,102.95/116,064.87 = 45,864.59/x
  3. Step 3: Cross multiply
    84,102.95x = 116,064.87 × 45,864.59
  4. Step 4: Simplify right side
    84,102.95x = 5,323,266,980.97
  5. Step 5: Solve for x
    x = 5,323,266,980.97/84,102.95
  6. Step 6: Final answer
    x = 63,294.66

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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.