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Finding the Fourth Proportional to 49,348.10, 74,000.55 and 19,756.10

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Solution

The fourth proportional to 49,348.10, 74,000.55 and 19,756.10 is: 29,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,348.10 : 74,000.55 = 19,756.10 : x
  2. Step 2: Convert to fraction form
    49,348.10/74,000.55 = 19,756.10/x
  3. Step 3: Cross multiply
    49,348.10x = 74,000.55 × 19,756.10
  4. Step 4: Simplify right side
    49,348.10x = 1,461,962,265.86
  5. Step 5: Solve for x
    x = 1,461,962,265.86/49,348.10
  6. Step 6: Final answer
    x = 29,625.50

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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.