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Finding the Fourth Proportional to 46,711, 64,461.18 and 29,944

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Solution

The fourth proportional to 46,711, 64,461.18 and 29,944 is: 41,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711 : 64,461.18 = 29,944 : x
  2. Step 2: Convert to fraction form
    46,711/64,461.18 = 29,944/x
  3. Step 3: Cross multiply
    46,711x = 64,461.18 × 29,944
  4. Step 4: Simplify right side
    46,711x = 1,930,225,573.92
  5. Step 5: Solve for x
    x = 1,930,225,573.92/46,711
  6. Step 6: Final answer
    x = 41,322.72

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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.