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Finding the Fourth Proportional to 78,294.96, 117,291.27 and 46,730.22

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Solution

The fourth proportional to 78,294.96, 117,291.27 and 46,730.22 is: 70,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.96 : 117,291.27 = 46,730.22 : x
  2. Step 2: Convert to fraction form
    78,294.96/117,291.27 = 46,730.22/x
  3. Step 3: Cross multiply
    78,294.96x = 117,291.27 × 46,730.22
  4. Step 4: Simplify right side
    78,294.96x = 5,481,046,851.18
  5. Step 5: Solve for x
    x = 5,481,046,851.18/78,294.96
  6. Step 6: Final answer
    x = 70,005.10

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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.