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Finding the Fourth Proportional to 34,696.40, 52,025.40 and 14,971.60

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Solution

The fourth proportional to 34,696.40, 52,025.40 and 14,971.60 is: 22,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.40 : 52,025.40 = 14,971.60 : x
  2. Step 2: Convert to fraction form
    34,696.40/52,025.40 = 14,971.60/x
  3. Step 3: Cross multiply
    34,696.40x = 52,025.40 × 14,971.60
  4. Step 4: Simplify right side
    34,696.40x = 778,903,478.64
  5. Step 5: Solve for x
    x = 778,903,478.64/34,696.40
  6. Step 6: Final answer
    x = 22,449.12

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Why These Related Problems?

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