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Finding the Fourth Proportional to 93,646.32, 140,521.32 and 38,238

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Solution

The fourth proportional to 93,646.32, 140,521.32 and 38,238 is: 57,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,646.32 : 140,521.32 = 38,238 : x
  2. Step 2: Convert to fraction form
    93,646.32/140,521.32 = 38,238/x
  3. Step 3: Cross multiply
    93,646.32x = 140,521.32 × 38,238
  4. Step 4: Simplify right side
    93,646.32x = 5,373,254,234.16
  5. Step 5: Solve for x
    x = 5,373,254,234.16/93,646.32
  6. Step 6: Final answer
    x = 57,378.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.