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Finding the Fourth Proportional to 65,053, 89,773.16 and 35,245

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Solution

The fourth proportional to 65,053, 89,773.16 and 35,245 is: 48,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053 : 89,773.16 = 35,245 : x
  2. Step 2: Convert to fraction form
    65,053/89,773.16 = 35,245/x
  3. Step 3: Cross multiply
    65,053x = 89,773.16 × 35,245
  4. Step 4: Simplify right side
    65,053x = 3,164,055,024.20
  5. Step 5: Solve for x
    x = 3,164,055,024.20/65,053
  6. Step 6: Final answer
    x = 48,638.11

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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.