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Finding the Fourth Proportional to 47,354.83, 65,349.25 and 25,845.01

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Solution

The fourth proportional to 47,354.83, 65,349.25 and 25,845.01 is: 35,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,354.83 : 65,349.25 = 25,845.01 : x
  2. Step 2: Convert to fraction form
    47,354.83/65,349.25 = 25,845.01/x
  3. Step 3: Cross multiply
    47,354.83x = 65,349.25 × 25,845.01
  4. Step 4: Simplify right side
    47,354.83x = 1,688,952,019.74
  5. Step 5: Solve for x
    x = 1,688,952,019.74/47,354.83
  6. Step 6: Final answer
    x = 35,665.89

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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.