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Finding the Fourth Proportional to 162,693.30, 243,982.77 and 48,807.15

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Solution

The fourth proportional to 162,693.30, 243,982.77 and 48,807.15 is: 73,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,693.30 : 243,982.77 = 48,807.15 : x
  2. Step 2: Convert to fraction form
    162,693.30/243,982.77 = 48,807.15/x
  3. Step 3: Cross multiply
    162,693.30x = 243,982.77 × 48,807.15
  4. Step 4: Simplify right side
    162,693.30x = 11,908,103,652.81
  5. Step 5: Solve for x
    x = 11,908,103,652.81/162,693.30
  6. Step 6: Final answer
    x = 73,193.57

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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.