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Finding the Fourth Proportional to 64,773.84, 97,146.18 and 42,277.44

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Solution

The fourth proportional to 64,773.84, 97,146.18 and 42,277.44 is: 63,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,773.84 : 97,146.18 = 42,277.44 : x
  2. Step 2: Convert to fraction form
    64,773.84/97,146.18 = 42,277.44/x
  3. Step 3: Cross multiply
    64,773.84x = 97,146.18 × 42,277.44
  4. Step 4: Simplify right side
    64,773.84x = 4,107,091,796.18
  5. Step 5: Solve for x
    x = 4,107,091,796.18/64,773.84
  6. Step 6: Final answer
    x = 63,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.