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Finding the Fourth Proportional to 42,557.16, 63,840 and 16,284

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Solution

The fourth proportional to 42,557.16, 63,840 and 16,284 is: 24,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,557.16 : 63,840 = 16,284 : x
  2. Step 2: Convert to fraction form
    42,557.16/63,840 = 16,284/x
  3. Step 3: Cross multiply
    42,557.16x = 63,840 × 16,284
  4. Step 4: Simplify right side
    42,557.16x = 1,039,570,560
  5. Step 5: Solve for x
    x = 1,039,570,560/42,557.16
  6. Step 6: Final answer
    x = 24,427.63

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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.