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Finding the Fourth Proportional to 41,688, 57,529.64 and 23,782.82

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Solution

The fourth proportional to 41,688, 57,529.64 and 23,782.82 is: 32,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688 : 57,529.64 = 23,782.82 : x
  2. Step 2: Convert to fraction form
    41,688/57,529.64 = 23,782.82/x
  3. Step 3: Cross multiply
    41,688x = 57,529.64 × 23,782.82
  4. Step 4: Simplify right side
    41,688x = 1,368,216,844.59
  5. Step 5: Solve for x
    x = 1,368,216,844.59/41,688
  6. Step 6: Final answer
    x = 32,820.40

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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.