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Finding the Fourth Proportional to 46,006, 63,536.47 and 31,703.02

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Solution

The fourth proportional to 46,006, 63,536.47 and 31,703.02 is: 43,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006 : 63,536.47 = 31,703.02 : x
  2. Step 2: Convert to fraction form
    46,006/63,536.47 = 31,703.02/x
  3. Step 3: Cross multiply
    46,006x = 63,536.47 × 31,703.02
  4. Step 4: Simplify right side
    46,006x = 2,014,297,979.14
  5. Step 5: Solve for x
    x = 2,014,297,979.14/46,006
  6. Step 6: Final answer
    x = 43,783.38

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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.