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Finding the Fourth Proportional to 65,077.73, 97,614.76 and 20,707.14

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Solution

The fourth proportional to 65,077.73, 97,614.76 and 20,707.14 is: 31,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077.73 : 97,614.76 = 20,707.14 : x
  2. Step 2: Convert to fraction form
    65,077.73/97,614.76 = 20,707.14/x
  3. Step 3: Cross multiply
    65,077.73x = 97,614.76 × 20,707.14
  4. Step 4: Simplify right side
    65,077.73x = 2,021,322,501.39
  5. Step 5: Solve for x
    x = 2,021,322,501.39/65,077.73
  6. Step 6: Final answer
    x = 31,060.13

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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.