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Finding the Fourth Proportional to 58,971.61, 81,378.04 and 32,114.01

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Solution

The fourth proportional to 58,971.61, 81,378.04 and 32,114.01 is: 44,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971.61 : 81,378.04 = 32,114.01 : x
  2. Step 2: Convert to fraction form
    58,971.61/81,378.04 = 32,114.01/x
  3. Step 3: Cross multiply
    58,971.61x = 81,378.04 × 32,114.01
  4. Step 4: Simplify right side
    58,971.61x = 2,613,375,190.34
  5. Step 5: Solve for x
    x = 2,613,375,190.34/58,971.61
  6. Step 6: Final answer
    x = 44,315.82

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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.