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Finding the Fourth Proportional to 78,508.17, 117,762.26 and 22,354.11

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Solution

The fourth proportional to 78,508.17, 117,762.26 and 22,354.11 is: 33,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.17 : 117,762.26 = 22,354.11 : x
  2. Step 2: Convert to fraction form
    78,508.17/117,762.26 = 22,354.11/x
  3. Step 3: Cross multiply
    78,508.17x = 117,762.26 × 22,354.11
  4. Step 4: Simplify right side
    78,508.17x = 2,632,470,402.12
  5. Step 5: Solve for x
    x = 2,632,470,402.12/78,508.17
  6. Step 6: Final answer
    x = 33,531.17

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