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Finding the Fourth Proportional to 78,863.04, 118,294.56 and 46,008

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Solution

The fourth proportional to 78,863.04, 118,294.56 and 46,008 is: 69,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,863.04 : 118,294.56 = 46,008 : x
  2. Step 2: Convert to fraction form
    78,863.04/118,294.56 = 46,008/x
  3. Step 3: Cross multiply
    78,863.04x = 118,294.56 × 46,008
  4. Step 4: Simplify right side
    78,863.04x = 5,442,496,116.48
  5. Step 5: Solve for x
    x = 5,442,496,116.48/78,863.04
  6. Step 6: Final answer
    x = 69,012

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.