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Finding the Fourth Proportional to 93,613.66, 140,420.49 and 31,284.16

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Solution

The fourth proportional to 93,613.66, 140,420.49 and 31,284.16 is: 46,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,613.66 : 140,420.49 = 31,284.16 : x
  2. Step 2: Convert to fraction form
    93,613.66/140,420.49 = 31,284.16/x
  3. Step 3: Cross multiply
    93,613.66x = 140,420.49 × 31,284.16
  4. Step 4: Simplify right side
    93,613.66x = 4,392,936,608.07
  5. Step 5: Solve for x
    x = 4,392,936,608.07/93,613.66
  6. Step 6: Final answer
    x = 46,926.24

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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.