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Finding the Fourth Proportional to 31,088, 46,632.32 and 17,266.08

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Solution

The fourth proportional to 31,088, 46,632.32 and 17,266.08 is: 25,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088 : 46,632.32 = 17,266.08 : x
  2. Step 2: Convert to fraction form
    31,088/46,632.32 = 17,266.08/x
  3. Step 3: Cross multiply
    31,088x = 46,632.32 × 17,266.08
  4. Step 4: Simplify right side
    31,088x = 805,157,367.71
  5. Step 5: Solve for x
    x = 805,157,367.71/31,088
  6. Step 6: Final answer
    x = 25,899.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.