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Finding the Fourth Proportional to 38,148, 57,225.96 and 10,446

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Solution

The fourth proportional to 38,148, 57,225.96 and 10,446 is: 15,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148 : 57,225.96 = 10,446 : x
  2. Step 2: Convert to fraction form
    38,148/57,225.96 = 10,446/x
  3. Step 3: Cross multiply
    38,148x = 57,225.96 × 10,446
  4. Step 4: Simplify right side
    38,148x = 597,782,378.16
  5. Step 5: Solve for x
    x = 597,782,378.16/38,148
  6. Step 6: Final answer
    x = 15,670.08

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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.