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Finding the Fourth Proportional to 58,106.38, 80,200.48 and 35,464.10

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Solution

The fourth proportional to 58,106.38, 80,200.48 and 35,464.10 is: 48,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,106.38 : 80,200.48 = 35,464.10 : x
  2. Step 2: Convert to fraction form
    58,106.38/80,200.48 = 35,464.10/x
  3. Step 3: Cross multiply
    58,106.38x = 80,200.48 × 35,464.10
  4. Step 4: Simplify right side
    58,106.38x = 2,844,237,842.77
  5. Step 5: Solve for x
    x = 2,844,237,842.77/58,106.38
  6. Step 6: Final answer
    x = 48,948.80

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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.