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Finding the Fourth Proportional to 65,406.24, 90,260.16 and 35,598.24

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Solution

The fourth proportional to 65,406.24, 90,260.16 and 35,598.24 is: 49,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.24 : 90,260.16 = 35,598.24 : x
  2. Step 2: Convert to fraction form
    65,406.24/90,260.16 = 35,598.24/x
  3. Step 3: Cross multiply
    65,406.24x = 90,260.16 × 35,598.24
  4. Step 4: Simplify right side
    65,406.24x = 3,213,102,838.12
  5. Step 5: Solve for x
    x = 3,213,102,838.12/65,406.24
  6. Step 6: Final answer
    x = 49,125.33

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1.5x scale

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.