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Finding the Fourth Proportional to 48,038.82, 72,102.31 and 24,362.84

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Solution

The fourth proportional to 48,038.82, 72,102.31 and 24,362.84 is: 36,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,038.82 : 72,102.31 = 24,362.84 : x
  2. Step 2: Convert to fraction form
    48,038.82/72,102.31 = 24,362.84/x
  3. Step 3: Cross multiply
    48,038.82x = 72,102.31 × 24,362.84
  4. Step 4: Simplify right side
    48,038.82x = 1,756,617,028.63
  5. Step 5: Solve for x
    x = 1,756,617,028.63/48,038.82
  6. Step 6: Final answer
    x = 36,566.61

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1.5x scale

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.