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Finding the Fourth Proportional to 65,807.16, 90,813.66 and 35,592.54

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Solution

The fourth proportional to 65,807.16, 90,813.66 and 35,592.54 is: 49,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.16 : 90,813.66 = 35,592.54 : x
  2. Step 2: Convert to fraction form
    65,807.16/90,813.66 = 35,592.54/x
  3. Step 3: Cross multiply
    65,807.16x = 90,813.66 × 35,592.54
  4. Step 4: Simplify right side
    65,807.16x = 3,232,288,826.10
  5. Step 5: Solve for x
    x = 3,232,288,826.10/65,807.16
  6. Step 6: Final answer
    x = 49,117.59

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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.