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Finding the Fourth Proportional to 46,688.66, 64,429.26 and 25,468.10

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Solution

The fourth proportional to 46,688.66, 64,429.26 and 25,468.10 is: 35,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688.66 : 64,429.26 = 25,468.10 : x
  2. Step 2: Convert to fraction form
    46,688.66/64,429.26 = 25,468.10/x
  3. Step 3: Cross multiply
    46,688.66x = 64,429.26 × 25,468.10
  4. Step 4: Simplify right side
    46,688.66x = 1,640,890,836.61
  5. Step 5: Solve for x
    x = 1,640,890,836.61/46,688.66
  6. Step 6: Final answer
    x = 35,145.38

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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.