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Finding the Fourth Proportional to 49,752.60, 74,580.50 and 31,933.02

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Solution

The fourth proportional to 49,752.60, 74,580.50 and 31,933.02 is: 47,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,752.60 : 74,580.50 = 31,933.02 : x
  2. Step 2: Convert to fraction form
    49,752.60/74,580.50 = 31,933.02/x
  3. Step 3: Cross multiply
    49,752.60x = 74,580.50 × 31,933.02
  4. Step 4: Simplify right side
    49,752.60x = 2,381,580,598.11
  5. Step 5: Solve for x
    x = 2,381,580,598.11/49,752.60
  6. Step 6: Final answer
    x = 47,868.47

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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.