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Finding the Fourth Proportional to 31,509.16, 43,482.46 and 17,168.98

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Solution

The fourth proportional to 31,509.16, 43,482.46 and 17,168.98 is: 23,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.16 : 43,482.46 = 17,168.98 : x
  2. Step 2: Convert to fraction form
    31,509.16/43,482.46 = 17,168.98/x
  3. Step 3: Cross multiply
    31,509.16x = 43,482.46 × 17,168.98
  4. Step 4: Simplify right side
    31,509.16x = 746,549,486.09
  5. Step 5: Solve for x
    x = 746,549,486.09/31,509.16
  6. Step 6: Final answer
    x = 23,693.09

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