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Finding the Fourth Proportional to 36,617.88, 54,631.02 and 31,111.32

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Solution

The fourth proportional to 36,617.88, 54,631.02 and 31,111.32 is: 46,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,617.88 : 54,631.02 = 31,111.32 : x
  2. Step 2: Convert to fraction form
    36,617.88/54,631.02 = 31,111.32/x
  3. Step 3: Cross multiply
    36,617.88x = 54,631.02 × 31,111.32
  4. Step 4: Simplify right side
    36,617.88x = 1,699,643,145.15
  5. Step 5: Solve for x
    x = 1,699,643,145.15/36,617.88
  6. Step 6: Final answer
    x = 46,415.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.