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Finding the Fourth Proportional to 68,645.60, 102,968.40 and 42,264.80

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Solution

The fourth proportional to 68,645.60, 102,968.40 and 42,264.80 is: 63,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,645.60 : 102,968.40 = 42,264.80 : x
  2. Step 2: Convert to fraction form
    68,645.60/102,968.40 = 42,264.80/x
  3. Step 3: Cross multiply
    68,645.60x = 102,968.40 × 42,264.80
  4. Step 4: Simplify right side
    68,645.60x = 4,351,938,832.32
  5. Step 5: Solve for x
    x = 4,351,938,832.32/68,645.60
  6. Step 6: Final answer
    x = 63,397.20

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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.