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Finding the Fourth Proportional to 47,133.59, 65,044.79 and 25,913

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Solution

The fourth proportional to 47,133.59, 65,044.79 and 25,913 is: 35,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133.59 : 65,044.79 = 25,913 : x
  2. Step 2: Convert to fraction form
    47,133.59/65,044.79 = 25,913/x
  3. Step 3: Cross multiply
    47,133.59x = 65,044.79 × 25,913
  4. Step 4: Simplify right side
    47,133.59x = 1,685,505,513.71
  5. Step 5: Solve for x
    x = 1,685,505,513.71/47,133.59
  6. Step 6: Final answer
    x = 35,760.18

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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.