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Finding the Fourth Proportional to 52,075.87, 78,051.17 and 29,903.47

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Solution

The fourth proportional to 52,075.87, 78,051.17 and 29,903.47 is: 44,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.87 : 78,051.17 = 29,903.47 : x
  2. Step 2: Convert to fraction form
    52,075.87/78,051.17 = 29,903.47/x
  3. Step 3: Cross multiply
    52,075.87x = 78,051.17 × 29,903.47
  4. Step 4: Simplify right side
    52,075.87x = 2,334,000,671.04
  5. Step 5: Solve for x
    x = 2,334,000,671.04/52,075.87
  6. Step 6: Final answer
    x = 44,819.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.