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Finding the Fourth Proportional to 93,825.76, 140,751.60 and 31,514.08

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Solution

The fourth proportional to 93,825.76, 140,751.60 and 31,514.08 is: 47,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,825.76 : 140,751.60 = 31,514.08 : x
  2. Step 2: Convert to fraction form
    93,825.76/140,751.60 = 31,514.08/x
  3. Step 3: Cross multiply
    93,825.76x = 140,751.60 × 31,514.08
  4. Step 4: Simplify right side
    93,825.76x = 4,435,657,182.53
  5. Step 5: Solve for x
    x = 4,435,657,182.53/93,825.76
  6. Step 6: Final answer
    x = 47,275.47

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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.