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Finding the Fourth Proportional to 93,700.96, 140,564.40 and 38,284

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Solution

The fourth proportional to 93,700.96, 140,564.40 and 38,284 is: 57,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700.96 : 140,564.40 = 38,284 : x
  2. Step 2: Convert to fraction form
    93,700.96/140,564.40 = 38,284/x
  3. Step 3: Cross multiply
    93,700.96x = 140,564.40 × 38,284
  4. Step 4: Simplify right side
    93,700.96x = 5,381,367,489.60
  5. Step 5: Solve for x
    x = 5,381,367,489.60/93,700.96
  6. Step 6: Final answer
    x = 57,431.30

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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.