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Finding the Fourth Proportional to 49,807.80, 74,610.90 and 31,030.20

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Solution

The fourth proportional to 49,807.80, 74,610.90 and 31,030.20 is: 46,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.80 : 74,610.90 = 31,030.20 : x
  2. Step 2: Convert to fraction form
    49,807.80/74,610.90 = 31,030.20/x
  3. Step 3: Cross multiply
    49,807.80x = 74,610.90 × 31,030.20
  4. Step 4: Simplify right side
    49,807.80x = 2,315,191,149.18
  5. Step 5: Solve for x
    x = 2,315,191,149.18/49,807.80
  6. Step 6: Final answer
    x = 46,482.50

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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.