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Finding the Fourth Proportional to 75,801.09, 113,653.02 and 31,458.45

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Solution

The fourth proportional to 75,801.09, 113,653.02 and 31,458.45 is: 47,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,801.09 : 113,653.02 = 31,458.45 : x
  2. Step 2: Convert to fraction form
    75,801.09/113,653.02 = 31,458.45/x
  3. Step 3: Cross multiply
    75,801.09x = 113,653.02 × 31,458.45
  4. Step 4: Simplify right side
    75,801.09x = 3,575,347,847.02
  5. Step 5: Solve for x
    x = 3,575,347,847.02/75,801.09
  6. Step 6: Final answer
    x = 47,167.50

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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.