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Finding the Fourth Proportional to 46,729.38, 64,485.54 and 25,509

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Solution

The fourth proportional to 46,729.38, 64,485.54 and 25,509 is: 35,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729.38 : 64,485.54 = 25,509 : x
  2. Step 2: Convert to fraction form
    46,729.38/64,485.54 = 25,509/x
  3. Step 3: Cross multiply
    46,729.38x = 64,485.54 × 25,509
  4. Step 4: Simplify right side
    46,729.38x = 1,644,961,639.86
  5. Step 5: Solve for x
    x = 1,644,961,639.86/46,729.38
  6. Step 6: Final answer
    x = 35,201.87

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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.