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Finding the Fourth Proportional to 46,041.32, 63,514.02 and 29,066.60

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Solution

The fourth proportional to 46,041.32, 63,514.02 and 29,066.60 is: 40,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,041.32 : 63,514.02 = 29,066.60 : x
  2. Step 2: Convert to fraction form
    46,041.32/63,514.02 = 29,066.60/x
  3. Step 3: Cross multiply
    46,041.32x = 63,514.02 × 29,066.60
  4. Step 4: Simplify right side
    46,041.32x = 1,846,136,613.73
  5. Step 5: Solve for x
    x = 1,846,136,613.73/46,041.32
  6. Step 6: Final answer
    x = 40,097.39

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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.