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Finding the Fourth Proportional to 47,102.99, 70,682.03 and 17,541.77

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Solution

The fourth proportional to 47,102.99, 70,682.03 and 17,541.77 is: 26,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.99 : 70,682.03 = 17,541.77 : x
  2. Step 2: Convert to fraction form
    47,102.99/70,682.03 = 17,541.77/x
  3. Step 3: Cross multiply
    47,102.99x = 70,682.03 × 17,541.77
  4. Step 4: Simplify right side
    47,102.99x = 1,239,887,913.39
  5. Step 5: Solve for x
    x = 1,239,887,913.39/47,102.99
  6. Step 6: Final answer
    x = 26,322.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.