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Finding the Fourth Proportional to 65,415.30, 98,022.15 and 48,696.90

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Solution

The fourth proportional to 65,415.30, 98,022.15 and 48,696.90 is: 72,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,415.30 : 98,022.15 = 48,696.90 : x
  2. Step 2: Convert to fraction form
    65,415.30/98,022.15 = 48,696.90/x
  3. Step 3: Cross multiply
    65,415.30x = 98,022.15 × 48,696.90
  4. Step 4: Simplify right side
    65,415.30x = 4,773,374,836.34
  5. Step 5: Solve for x
    x = 4,773,374,836.34/65,415.30
  6. Step 6: Final answer
    x = 72,970.31

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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.