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Finding the Fourth Proportional to 64,822.01, 89,454.24 and 35,014.01

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Solution

The fourth proportional to 64,822.01, 89,454.24 and 35,014.01 is: 48,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.01 : 89,454.24 = 35,014.01 : x
  2. Step 2: Convert to fraction form
    64,822.01/89,454.24 = 35,014.01/x
  3. Step 3: Cross multiply
    64,822.01x = 89,454.24 × 35,014.01
  4. Step 4: Simplify right side
    64,822.01x = 3,132,151,206.63
  5. Step 5: Solve for x
    x = 3,132,151,206.63/64,822.01
  6. Step 6: Final answer
    x = 48,319.26

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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.