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Finding the Fourth Proportional to 46,707, 64,455.66 and 29,940

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Solution

The fourth proportional to 46,707, 64,455.66 and 29,940 is: 41,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,707 : 64,455.66 = 29,940 : x
  2. Step 2: Convert to fraction form
    46,707/64,455.66 = 29,940/x
  3. Step 3: Cross multiply
    46,707x = 64,455.66 × 29,940
  4. Step 4: Simplify right side
    46,707x = 1,929,802,460.40
  5. Step 5: Solve for x
    x = 1,929,802,460.40/46,707
  6. Step 6: Final answer
    x = 41,317.20

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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.