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Finding the Fourth Proportional to 31,316.90, 46,967.04 and 13,553.72

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Solution

The fourth proportional to 31,316.90, 46,967.04 and 13,553.72 is: 20,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.90 : 46,967.04 = 13,553.72 : x
  2. Step 2: Convert to fraction form
    31,316.90/46,967.04 = 13,553.72/x
  3. Step 3: Cross multiply
    31,316.90x = 46,967.04 × 13,553.72
  4. Step 4: Simplify right side
    31,316.90x = 636,578,109.39
  5. Step 5: Solve for x
    x = 636,578,109.39/31,316.90
  6. Step 6: Final answer
    x = 20,326.98

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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.