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Finding the Fourth Proportional to 46,496.20, 64,164 and 25,276

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Solution

The fourth proportional to 46,496.20, 64,164 and 25,276 is: 34,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496.20 : 64,164 = 25,276 : x
  2. Step 2: Convert to fraction form
    46,496.20/64,164 = 25,276/x
  3. Step 3: Cross multiply
    46,496.20x = 64,164 × 25,276
  4. Step 4: Simplify right side
    46,496.20x = 1,621,809,264
  5. Step 5: Solve for x
    x = 1,621,809,264/46,496.20
  6. Step 6: Final answer
    x = 34,880.47

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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.