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Finding the Fourth Proportional to 46,957.67, 70,459.29 and 20,659

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Solution

The fourth proportional to 46,957.67, 70,459.29 and 20,659 is: 30,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.67 : 70,459.29 = 20,659 : x
  2. Step 2: Convert to fraction form
    46,957.67/70,459.29 = 20,659/x
  3. Step 3: Cross multiply
    46,957.67x = 70,459.29 × 20,659
  4. Step 4: Simplify right side
    46,957.67x = 1,455,618,472.11
  5. Step 5: Solve for x
    x = 1,455,618,472.11/46,957.67
  6. Step 6: Final answer
    x = 30,998.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.