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Finding the Fourth Proportional to 65,059, 89,781.54 and 35,251

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Solution

The fourth proportional to 65,059, 89,781.54 and 35,251 is: 48,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059 : 89,781.54 = 35,251 : x
  2. Step 2: Convert to fraction form
    65,059/89,781.54 = 35,251/x
  3. Step 3: Cross multiply
    65,059x = 89,781.54 × 35,251
  4. Step 4: Simplify right side
    65,059x = 3,164,889,066.54
  5. Step 5: Solve for x
    x = 3,164,889,066.54/65,059
  6. Step 6: Final answer
    x = 48,646.45

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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.