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Finding the Fourth Proportional to 47,509.38, 65,509.29 and 35,534.34

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Solution

The fourth proportional to 47,509.38, 65,509.29 and 35,534.34 is: 48,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.38 : 65,509.29 = 35,534.34 : x
  2. Step 2: Convert to fraction form
    47,509.38/65,509.29 = 35,534.34/x
  3. Step 3: Cross multiply
    47,509.38x = 65,509.29 × 35,534.34
  4. Step 4: Simplify right side
    47,509.38x = 2,327,829,384.02
  5. Step 5: Solve for x
    x = 2,327,829,384.02/47,509.38
  6. Step 6: Final answer
    x = 48,997.26

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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.