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Finding the Fourth Proportional to 46,662.32, 64,392.60 and 25,442

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Solution

The fourth proportional to 46,662.32, 64,392.60 and 25,442 is: 35,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.32 : 64,392.60 = 25,442 : x
  2. Step 2: Convert to fraction form
    46,662.32/64,392.60 = 25,442/x
  3. Step 3: Cross multiply
    46,662.32x = 64,392.60 × 25,442
  4. Step 4: Simplify right side
    46,662.32x = 1,638,276,529.20
  5. Step 5: Solve for x
    x = 1,638,276,529.20/46,662.32
  6. Step 6: Final answer
    x = 35,109.20

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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.