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Finding the Fourth Proportional to 46,807.68, 70,203.96 and 17,218.20

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Solution

The fourth proportional to 46,807.68, 70,203.96 and 17,218.20 is: 25,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,807.68 : 70,203.96 = 17,218.20 : x
  2. Step 2: Convert to fraction form
    46,807.68/70,203.96 = 17,218.20/x
  3. Step 3: Cross multiply
    46,807.68x = 70,203.96 × 17,218.20
  4. Step 4: Simplify right side
    46,807.68x = 1,208,785,824.07
  5. Step 5: Solve for x
    x = 1,208,785,824.07/46,807.68
  6. Step 6: Final answer
    x = 25,824.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.