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Finding the Fourth Proportional to 42,742.16, 64,083 and 16,424.72

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Solution

The fourth proportional to 42,742.16, 64,083 and 16,424.72 is: 24,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742.16 : 64,083 = 16,424.72 : x
  2. Step 2: Convert to fraction form
    42,742.16/64,083 = 16,424.72/x
  3. Step 3: Cross multiply
    42,742.16x = 64,083 × 16,424.72
  4. Step 4: Simplify right side
    42,742.16x = 1,052,545,331.76
  5. Step 5: Solve for x
    x = 1,052,545,331.76/42,742.16
  6. Step 6: Final answer
    x = 24,625.46

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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.