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Finding the Fourth Proportional to 52,144.34, 78,214.98 and 12,700.88

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Solution

The fourth proportional to 52,144.34, 78,214.98 and 12,700.88 is: 19,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,144.34 : 78,214.98 = 12,700.88 : x
  2. Step 2: Convert to fraction form
    52,144.34/78,214.98 = 12,700.88/x
  3. Step 3: Cross multiply
    52,144.34x = 78,214.98 × 12,700.88
  4. Step 4: Simplify right side
    52,144.34x = 993,399,075.18
  5. Step 5: Solve for x
    x = 993,399,075.18/52,144.34
  6. Step 6: Final answer
    x = 19,050.95

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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.