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Finding the Fourth Proportional to 49,312, 73,870.26 and 22,980.52

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Solution

The fourth proportional to 49,312, 73,870.26 and 22,980.52 is: 34,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312 : 73,870.26 = 22,980.52 : x
  2. Step 2: Convert to fraction form
    49,312/73,870.26 = 22,980.52/x
  3. Step 3: Cross multiply
    49,312x = 73,870.26 × 22,980.52
  4. Step 4: Simplify right side
    49,312x = 1,697,576,987.34
  5. Step 5: Solve for x
    x = 1,697,576,987.34/49,312
  6. Step 6: Final answer
    x = 34,425.23

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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.