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Finding the Fourth Proportional to 93,547.56, 140,275.86 and 31,197

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Solution

The fourth proportional to 93,547.56, 140,275.86 and 31,197 is: 46,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,547.56 : 140,275.86 = 31,197 : x
  2. Step 2: Convert to fraction form
    93,547.56/140,275.86 = 31,197/x
  3. Step 3: Cross multiply
    93,547.56x = 140,275.86 × 31,197
  4. Step 4: Simplify right side
    93,547.56x = 4,376,186,004.42
  5. Step 5: Solve for x
    x = 4,376,186,004.42/93,547.56
  6. Step 6: Final answer
    x = 46,780.33

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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.