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Finding the Fourth Proportional to 78,492.24, 108,264.68 and 51,626.32

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Solution

The fourth proportional to 78,492.24, 108,264.68 and 51,626.32 is: 71,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.24 : 108,264.68 = 51,626.32 : x
  2. Step 2: Convert to fraction form
    78,492.24/108,264.68 = 51,626.32/x
  3. Step 3: Cross multiply
    78,492.24x = 108,264.68 × 51,626.32
  4. Step 4: Simplify right side
    78,492.24x = 5,589,307,014.38
  5. Step 5: Solve for x
    x = 5,589,307,014.38/78,492.24
  6. Step 6: Final answer
    x = 71,208.40

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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.