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Finding the Fourth Proportional to 42,457.80, 63,692.78 and 12,877.95

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Solution

The fourth proportional to 42,457.80, 63,692.78 and 12,877.95 is: 19,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.80 : 63,692.78 = 12,877.95 : x
  2. Step 2: Convert to fraction form
    42,457.80/63,692.78 = 12,877.95/x
  3. Step 3: Cross multiply
    42,457.80x = 63,692.78 × 12,877.95
  4. Step 4: Simplify right side
    42,457.80x = 820,232,371.81
  5. Step 5: Solve for x
    x = 820,232,371.81/42,457.80
  6. Step 6: Final answer
    x = 19,318.77

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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.