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Finding the Fourth Proportional to 93,820.55, 140,730.82 and 31,534.79

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Solution

The fourth proportional to 93,820.55, 140,730.82 and 31,534.79 is: 47,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,820.55 : 140,730.82 = 31,534.79 : x
  2. Step 2: Convert to fraction form
    93,820.55/140,730.82 = 31,534.79/x
  3. Step 3: Cross multiply
    93,820.55x = 140,730.82 × 31,534.79
  4. Step 4: Simplify right side
    93,820.55x = 4,437,916,072.74
  5. Step 5: Solve for x
    x = 4,437,916,072.74/93,820.55
  6. Step 6: Final answer
    x = 47,302.18

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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.