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Finding the Fourth Proportional to 48,030.50, 66,271.80 and 27,876.62

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Solution

The fourth proportional to 48,030.50, 66,271.80 and 27,876.62 is: 38,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,030.50 : 66,271.80 = 27,876.62 : x
  2. Step 2: Convert to fraction form
    48,030.50/66,271.80 = 27,876.62/x
  3. Step 3: Cross multiply
    48,030.50x = 66,271.80 × 27,876.62
  4. Step 4: Simplify right side
    48,030.50x = 1,847,434,055.53
  5. Step 5: Solve for x
    x = 1,847,434,055.53/48,030.50
  6. Step 6: Final answer
    x = 38,463.77

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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.