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Finding the Fourth Proportional to 52,808.70, 72,848.77 and 35,807.20

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Solution

The fourth proportional to 52,808.70, 72,848.77 and 35,807.20 is: 49,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808.70 : 72,848.77 = 35,807.20 : x
  2. Step 2: Convert to fraction form
    52,808.70/72,848.77 = 35,807.20/x
  3. Step 3: Cross multiply
    52,808.70x = 72,848.77 × 35,807.20
  4. Step 4: Simplify right side
    52,808.70x = 2,608,510,477.14
  5. Step 5: Solve for x
    x = 2,608,510,477.14/52,808.70
  6. Step 6: Final answer
    x = 49,395.47

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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.