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Finding the Fourth Proportional to 58,797, 81,139.86 and 32,301

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Solution

The fourth proportional to 58,797, 81,139.86 and 32,301 is: 44,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,797 : 81,139.86 = 32,301 : x
  2. Step 2: Convert to fraction form
    58,797/81,139.86 = 32,301/x
  3. Step 3: Cross multiply
    58,797x = 81,139.86 × 32,301
  4. Step 4: Simplify right side
    58,797x = 2,620,898,617.86
  5. Step 5: Solve for x
    x = 2,620,898,617.86/58,797
  6. Step 6: Final answer
    x = 44,575.38

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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.