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Finding the Fourth Proportional to 47,442.93, 65,441 and 36,087.51

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Solution

The fourth proportional to 47,442.93, 65,441 and 36,087.51 is: 49,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,442.93 : 65,441 = 36,087.51 : x
  2. Step 2: Convert to fraction form
    47,442.93/65,441 = 36,087.51/x
  3. Step 3: Cross multiply
    47,442.93x = 65,441 × 36,087.51
  4. Step 4: Simplify right side
    47,442.93x = 2,361,602,741.91
  5. Step 5: Solve for x
    x = 2,361,602,741.91/47,442.93
  6. Step 6: Final answer
    x = 49,777.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.