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Finding the Fourth Proportional to 31,158.98, 46,736.91 and 11,435.98

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Solution

The fourth proportional to 31,158.98, 46,736.91 and 11,435.98 is: 17,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.98 : 46,736.91 = 11,435.98 : x
  2. Step 2: Convert to fraction form
    31,158.98/46,736.91 = 11,435.98/x
  3. Step 3: Cross multiply
    31,158.98x = 46,736.91 × 11,435.98
  4. Step 4: Simplify right side
    31,158.98x = 534,482,368.02
  5. Step 5: Solve for x
    x = 534,482,368.02/31,158.98
  6. Step 6: Final answer
    x = 17,153.40

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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.