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Finding the Fourth Proportional to 46,709, 64,458.42 and 29,942

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Solution

The fourth proportional to 46,709, 64,458.42 and 29,942 is: 41,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709 : 64,458.42 = 29,942 : x
  2. Step 2: Convert to fraction form
    46,709/64,458.42 = 29,942/x
  3. Step 3: Cross multiply
    46,709x = 64,458.42 × 29,942
  4. Step 4: Simplify right side
    46,709x = 1,930,014,011.64
  5. Step 5: Solve for x
    x = 1,930,014,011.64/46,709
  6. Step 6: Final answer
    x = 41,319.96

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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.