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Finding the Fourth Proportional to 42,953.50, 59,301.75 and 28,075.42

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Solution

The fourth proportional to 42,953.50, 59,301.75 and 28,075.42 is: 38,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,953.50 : 59,301.75 = 28,075.42 : x
  2. Step 2: Convert to fraction form
    42,953.50/59,301.75 = 28,075.42/x
  3. Step 3: Cross multiply
    42,953.50x = 59,301.75 × 28,075.42
  4. Step 4: Simplify right side
    42,953.50x = 1,664,921,537.99
  5. Step 5: Solve for x
    x = 1,664,921,537.99/42,953.50
  6. Step 6: Final answer
    x = 38,761.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.