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Finding the Fourth Proportional to 78,648.10, 108,534.22 and 42,838.03

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Solution

The fourth proportional to 78,648.10, 108,534.22 and 42,838.03 is: 59,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,648.10 : 108,534.22 = 42,838.03 : x
  2. Step 2: Convert to fraction form
    78,648.10/108,534.22 = 42,838.03/x
  3. Step 3: Cross multiply
    78,648.10x = 108,534.22 × 42,838.03
  4. Step 4: Simplify right side
    78,648.10x = 4,649,392,172.39
  5. Step 5: Solve for x
    x = 4,649,392,172.39/78,648.10
  6. Step 6: Final answer
    x = 59,116.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.