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Finding the Fourth Proportional to 162,405.40, 243,605.42 and 48,553.48

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Solution

The fourth proportional to 162,405.40, 243,605.42 and 48,553.48 is: 72,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,405.40 : 243,605.42 = 48,553.48 : x
  2. Step 2: Convert to fraction form
    162,405.40/243,605.42 = 48,553.48/x
  3. Step 3: Cross multiply
    162,405.40x = 243,605.42 × 48,553.48
  4. Step 4: Simplify right side
    162,405.40x = 11,827,889,852.43
  5. Step 5: Solve for x
    x = 11,827,889,852.43/162,405.40
  6. Step 6: Final answer
    x = 72,829.41

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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.