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Finding the Fourth Proportional to 38,075.40, 52,616.34 and 28,627.56

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Solution

The fourth proportional to 38,075.40, 52,616.34 and 28,627.56 is: 39,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.40 : 52,616.34 = 28,627.56 : x
  2. Step 2: Convert to fraction form
    38,075.40/52,616.34 = 28,627.56/x
  3. Step 3: Cross multiply
    38,075.40x = 52,616.34 × 28,627.56
  4. Step 4: Simplify right side
    38,075.40x = 1,506,277,430.33
  5. Step 5: Solve for x
    x = 1,506,277,430.33/38,075.40
  6. Step 6: Final answer
    x = 39,560.38

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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.