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Finding the Fourth Proportional to 65,292.71, 90,088.16 and 41,410.67

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Solution

The fourth proportional to 65,292.71, 90,088.16 and 41,410.67 is: 57,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.71 : 90,088.16 = 41,410.67 : x
  2. Step 2: Convert to fraction form
    65,292.71/90,088.16 = 41,410.67/x
  3. Step 3: Cross multiply
    65,292.71x = 90,088.16 × 41,410.67
  4. Step 4: Simplify right side
    65,292.71x = 3,730,610,407.17
  5. Step 5: Solve for x
    x = 3,730,610,407.17/65,292.71
  6. Step 6: Final answer
    x = 57,136.71

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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.