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Finding the Fourth Proportional to 84,693.65, 116,877.23 and 46,967.90

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Solution

The fourth proportional to 84,693.65, 116,877.23 and 46,967.90 is: 64,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,693.65 : 116,877.23 = 46,967.90 : x
  2. Step 2: Convert to fraction form
    84,693.65/116,877.23 = 46,967.90/x
  3. Step 3: Cross multiply
    84,693.65x = 116,877.23 × 46,967.90
  4. Step 4: Simplify right side
    84,693.65x = 5,489,478,065.26
  5. Step 5: Solve for x
    x = 5,489,478,065.26/84,693.65
  6. Step 6: Final answer
    x = 64,815.70

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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.