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Finding the Fourth Proportional to 52,034.04, 77,674.50 and 45,728.28

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Solution

The fourth proportional to 52,034.04, 77,674.50 and 45,728.28 is: 68,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.04 : 77,674.50 = 45,728.28 : x
  2. Step 2: Convert to fraction form
    52,034.04/77,674.50 = 45,728.28/x
  3. Step 3: Cross multiply
    52,034.04x = 77,674.50 × 45,728.28
  4. Step 4: Simplify right side
    52,034.04x = 3,551,921,284.86
  5. Step 5: Solve for x
    x = 3,551,921,284.86/52,034.04
  6. Step 6: Final answer
    x = 68,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.