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Finding the Fourth Proportional to 42,776.64, 64,153.44 and 11,613.60

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Solution

The fourth proportional to 42,776.64, 64,153.44 and 11,613.60 is: 17,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.64 : 64,153.44 = 11,613.60 : x
  2. Step 2: Convert to fraction form
    42,776.64/64,153.44 = 11,613.60/x
  3. Step 3: Cross multiply
    42,776.64x = 64,153.44 × 11,613.60
  4. Step 4: Simplify right side
    42,776.64x = 745,052,390.78
  5. Step 5: Solve for x
    x = 745,052,390.78/42,776.64
  6. Step 6: Final answer
    x = 17,417.27

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