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Finding the Fourth Proportional to 27,807.02, 41,710.80 and 7,030.52

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Solution

The fourth proportional to 27,807.02, 41,710.80 and 7,030.52 is: 10,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.02 : 41,710.80 = 7,030.52 : x
  2. Step 2: Convert to fraction form
    27,807.02/41,710.80 = 7,030.52/x
  3. Step 3: Cross multiply
    27,807.02x = 41,710.80 × 7,030.52
  4. Step 4: Simplify right side
    27,807.02x = 293,248,613.62
  5. Step 5: Solve for x
    x = 293,248,613.62/27,807.02
  6. Step 6: Final answer
    x = 10,545.85

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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.