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Finding the Fourth Proportional to 65,081.61, 97,637.40 and 27,642.87

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Solution

The fourth proportional to 65,081.61, 97,637.40 and 27,642.87 is: 41,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,081.61 : 97,637.40 = 27,642.87 : x
  2. Step 2: Convert to fraction form
    65,081.61/97,637.40 = 27,642.87/x
  3. Step 3: Cross multiply
    65,081.61x = 97,637.40 × 27,642.87
  4. Step 4: Simplify right side
    65,081.61x = 2,698,977,955.34
  5. Step 5: Solve for x
    x = 2,698,977,955.34/65,081.61
  6. Step 6: Final answer
    x = 41,470.67

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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.