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Finding the Fourth Proportional to 31,549.60, 47,225.94 and 23,239

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Solution

The fourth proportional to 31,549.60, 47,225.94 and 23,239 is: 34,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.60 : 47,225.94 = 23,239 : x
  2. Step 2: Convert to fraction form
    31,549.60/47,225.94 = 23,239/x
  3. Step 3: Cross multiply
    31,549.60x = 47,225.94 × 23,239
  4. Step 4: Simplify right side
    31,549.60x = 1,097,483,619.66
  5. Step 5: Solve for x
    x = 1,097,483,619.66/31,549.60
  6. Step 6: Final answer
    x = 34,785.98

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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.