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Finding the Fourth Proportional to 46,626, 64,344 and 25,405.76

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Solution

The fourth proportional to 46,626, 64,344 and 25,405.76 is: 35,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,626 : 64,344 = 25,405.76 : x
  2. Step 2: Convert to fraction form
    46,626/64,344 = 25,405.76/x
  3. Step 3: Cross multiply
    46,626x = 64,344 × 25,405.76
  4. Step 4: Simplify right side
    46,626x = 1,634,708,221.44
  5. Step 5: Solve for x
    x = 1,634,708,221.44/46,626
  6. Step 6: Final answer
    x = 35,060.01

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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.