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Finding the Fourth Proportional to 65,041.36, 97,486.02 and 27,588.76

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Solution

The fourth proportional to 65,041.36, 97,486.02 and 27,588.76 is: 41,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.36 : 97,486.02 = 27,588.76 : x
  2. Step 2: Convert to fraction form
    65,041.36/97,486.02 = 27,588.76/x
  3. Step 3: Cross multiply
    65,041.36x = 97,486.02 × 27,588.76
  4. Step 4: Simplify right side
    65,041.36x = 2,689,518,409.14
  5. Step 5: Solve for x
    x = 2,689,518,409.14/65,041.36
  6. Step 6: Final answer
    x = 41,350.89

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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.