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Finding the Fourth Proportional to 52,050.47, 78,075.50 and 12,607.52

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Solution

The fourth proportional to 52,050.47, 78,075.50 and 12,607.52 is: 18,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,050.47 : 78,075.50 = 12,607.52 : x
  2. Step 2: Convert to fraction form
    52,050.47/78,075.50 = 12,607.52/x
  3. Step 3: Cross multiply
    52,050.47x = 78,075.50 × 12,607.52
  4. Step 4: Simplify right side
    52,050.47x = 984,337,974.34
  5. Step 5: Solve for x
    x = 984,337,974.34/52,050.47
  6. Step 6: Final answer
    x = 18,911.22

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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.