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Finding the Fourth Proportional to 54,728.24, 75,525 and 29,577.76

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Solution

The fourth proportional to 54,728.24, 75,525 and 29,577.76 is: 40,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,728.24 : 75,525 = 29,577.76 : x
  2. Step 2: Convert to fraction form
    54,728.24/75,525 = 29,577.76/x
  3. Step 3: Cross multiply
    54,728.24x = 75,525 × 29,577.76
  4. Step 4: Simplify right side
    54,728.24x = 2,233,860,324
  5. Step 5: Solve for x
    x = 2,233,860,324/54,728.24
  6. Step 6: Final answer
    x = 40,817.32

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1.5x scale

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.