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Finding the Fourth Proportional to 65,061, 89,784.24 and 35,253

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Solution

The fourth proportional to 65,061, 89,784.24 and 35,253 is: 48,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,061 : 89,784.24 = 35,253 : x
  2. Step 2: Convert to fraction form
    65,061/89,784.24 = 35,253/x
  3. Step 3: Cross multiply
    65,061x = 89,784.24 × 35,253
  4. Step 4: Simplify right side
    65,061x = 3,165,163,812.72
  5. Step 5: Solve for x
    x = 3,165,163,812.72/65,061
  6. Step 6: Final answer
    x = 48,649.17

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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.