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Finding the Fourth Proportional to 46,695, 64,439.10 and 29,928

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Solution

The fourth proportional to 46,695, 64,439.10 and 29,928 is: 41,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,695 : 64,439.10 = 29,928 : x
  2. Step 2: Convert to fraction form
    46,695/64,439.10 = 29,928/x
  3. Step 3: Cross multiply
    46,695x = 64,439.10 × 29,928
  4. Step 4: Simplify right side
    46,695x = 1,928,533,384.80
  5. Step 5: Solve for x
    x = 1,928,533,384.80/46,695
  6. Step 6: Final answer
    x = 41,300.64

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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.