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Finding the Fourth Proportional to 42,127.84, 63,191.58 and 10,963

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Solution

The fourth proportional to 42,127.84, 63,191.58 and 10,963 is: 16,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,127.84 : 63,191.58 = 10,963 : x
  2. Step 2: Convert to fraction form
    42,127.84/63,191.58 = 10,963/x
  3. Step 3: Cross multiply
    42,127.84x = 63,191.58 × 10,963
  4. Step 4: Simplify right side
    42,127.84x = 692,769,291.54
  5. Step 5: Solve for x
    x = 692,769,291.54/42,127.84
  6. Step 6: Final answer
    x = 16,444.45

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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.