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Finding the Fourth Proportional to 46,842.18, 64,663.32 and 29,869.21

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Solution

The fourth proportional to 46,842.18, 64,663.32 and 29,869.21 is: 41,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,842.18 : 64,663.32 = 29,869.21 : x
  2. Step 2: Convert to fraction form
    46,842.18/64,663.32 = 29,869.21/x
  3. Step 3: Cross multiply
    46,842.18x = 64,663.32 × 29,869.21
  4. Step 4: Simplify right side
    46,842.18x = 1,931,442,284.38
  5. Step 5: Solve for x
    x = 1,931,442,284.38/46,842.18
  6. Step 6: Final answer
    x = 41,232.97

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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.