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Finding the Fourth Proportional to 117,070.53, 175,599.08 and 31,680.10

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Solution

The fourth proportional to 117,070.53, 175,599.08 and 31,680.10 is: 47,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,070.53 : 175,599.08 = 31,680.10 : x
  2. Step 2: Convert to fraction form
    117,070.53/175,599.08 = 31,680.10/x
  3. Step 3: Cross multiply
    117,070.53x = 175,599.08 × 31,680.10
  4. Step 4: Simplify right side
    117,070.53x = 5,562,996,414.31
  5. Step 5: Solve for x
    x = 5,562,996,414.31/117,070.53
  6. Step 6: Final answer
    x = 47,518.33

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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.