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Finding the Fourth Proportional to 31,504.57, 47,258.18 and 14,653.39

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Solution

The fourth proportional to 31,504.57, 47,258.18 and 14,653.39 is: 21,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.57 : 47,258.18 = 14,653.39 : x
  2. Step 2: Convert to fraction form
    31,504.57/47,258.18 = 14,653.39/x
  3. Step 3: Cross multiply
    31,504.57x = 47,258.18 × 14,653.39
  4. Step 4: Simplify right side
    31,504.57x = 692,492,350.82
  5. Step 5: Solve for x
    x = 692,492,350.82/31,504.57
  6. Step 6: Final answer
    x = 21,980.70

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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.