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Finding the Fourth Proportional to 48,807.80, 73,298.10 and 37,741.40

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Solution

The fourth proportional to 48,807.80, 73,298.10 and 37,741.40 is: 56,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.80 : 73,298.10 = 37,741.40 : x
  2. Step 2: Convert to fraction form
    48,807.80/73,298.10 = 37,741.40/x
  3. Step 3: Cross multiply
    48,807.80x = 73,298.10 × 37,741.40
  4. Step 4: Simplify right side
    48,807.80x = 2,766,372,911.34
  5. Step 5: Solve for x
    x = 2,766,372,911.34/48,807.80
  6. Step 6: Final answer
    x = 56,678.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.