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Finding the Fourth Proportional to 64,822, 89,454.36 and 35,014

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Solution

The fourth proportional to 64,822, 89,454.36 and 35,014 is: 48,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822 : 89,454.36 = 35,014 : x
  2. Step 2: Convert to fraction form
    64,822/89,454.36 = 35,014/x
  3. Step 3: Cross multiply
    64,822x = 89,454.36 × 35,014
  4. Step 4: Simplify right side
    64,822x = 3,132,154,961.04
  5. Step 5: Solve for x
    x = 3,132,154,961.04/64,822
  6. Step 6: Final answer
    x = 48,319.32

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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.