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Finding the Fourth Proportional to 45,187, 67,780.50 and 12,355

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Solution

The fourth proportional to 45,187, 67,780.50 and 12,355 is: 18,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,187 : 67,780.50 = 12,355 : x
  2. Step 2: Convert to fraction form
    45,187/67,780.50 = 12,355/x
  3. Step 3: Cross multiply
    45,187x = 67,780.50 × 12,355
  4. Step 4: Simplify right side
    45,187x = 837,428,077.50
  5. Step 5: Solve for x
    x = 837,428,077.50/45,187
  6. Step 6: Final answer
    x = 18,532.50

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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.