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Finding the Fourth Proportional to 50,507.64, 69,701.76 and 27,848.16

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Solution

The fourth proportional to 50,507.64, 69,701.76 and 27,848.16 is: 38,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.64 : 69,701.76 = 27,848.16 : x
  2. Step 2: Convert to fraction form
    50,507.64/69,701.76 = 27,848.16/x
  3. Step 3: Cross multiply
    50,507.64x = 69,701.76 × 27,848.16
  4. Step 4: Simplify right side
    50,507.64x = 1,941,065,764.76
  5. Step 5: Solve for x
    x = 1,941,065,764.76/50,507.64
  6. Step 6: Final answer
    x = 38,431.13

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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.