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Finding the Fourth Proportional to 44,535.32, 61,318.86 and 37,807

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Solution

The fourth proportional to 44,535.32, 61,318.86 and 37,807 is: 52,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,535.32 : 61,318.86 = 37,807 : x
  2. Step 2: Convert to fraction form
    44,535.32/61,318.86 = 37,807/x
  3. Step 3: Cross multiply
    44,535.32x = 61,318.86 × 37,807
  4. Step 4: Simplify right side
    44,535.32x = 2,318,282,140.02
  5. Step 5: Solve for x
    x = 2,318,282,140.02/44,535.32
  6. Step 6: Final answer
    x = 52,054.91

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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.