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Finding the Fourth Proportional to 53,431.57, 73,735.14 and 31,931.11

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Solution

The fourth proportional to 53,431.57, 73,735.14 and 31,931.11 is: 44,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,431.57 : 73,735.14 = 31,931.11 : x
  2. Step 2: Convert to fraction form
    53,431.57/73,735.14 = 31,931.11/x
  3. Step 3: Cross multiply
    53,431.57x = 73,735.14 × 31,931.11
  4. Step 4: Simplify right side
    53,431.57x = 2,354,444,866.21
  5. Step 5: Solve for x
    x = 2,354,444,866.21/53,431.57
  6. Step 6: Final answer
    x = 44,064.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.