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Finding the Fourth Proportional to 65,056.63, 89,778.15 and 35,248.63

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Solution

The fourth proportional to 65,056.63, 89,778.15 and 35,248.63 is: 48,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.63 : 89,778.15 = 35,248.63 : x
  2. Step 2: Convert to fraction form
    65,056.63/89,778.15 = 35,248.63/x
  3. Step 3: Cross multiply
    65,056.63x = 89,778.15 × 35,248.63
  4. Step 4: Simplify right side
    65,056.63x = 3,164,556,166.30
  5. Step 5: Solve for x
    x = 3,164,556,166.30/65,056.63
  6. Step 6: Final answer
    x = 48,643.10

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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.