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Finding the Fourth Proportional to 31,353.89, 47,030.22 and 7,980.32

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Solution

The fourth proportional to 31,353.89, 47,030.22 and 7,980.32 is: 11,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.89 : 47,030.22 = 7,980.32 : x
  2. Step 2: Convert to fraction form
    31,353.89/47,030.22 = 7,980.32/x
  3. Step 3: Cross multiply
    31,353.89x = 47,030.22 × 7,980.32
  4. Step 4: Simplify right side
    31,353.89x = 375,316,322.85
  5. Step 5: Solve for x
    x = 375,316,322.85/31,353.89
  6. Step 6: Final answer
    x = 11,970.33

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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.