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Finding the Fourth Proportional to 46,708, 64,457.04 and 29,941

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Solution

The fourth proportional to 46,708, 64,457.04 and 29,941 is: 41,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708 : 64,457.04 = 29,941 : x
  2. Step 2: Convert to fraction form
    46,708/64,457.04 = 29,941/x
  3. Step 3: Cross multiply
    46,708x = 64,457.04 × 29,941
  4. Step 4: Simplify right side
    46,708x = 1,929,908,234.64
  5. Step 5: Solve for x
    x = 1,929,908,234.64/46,708
  6. Step 6: Final answer
    x = 41,318.58

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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.