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Finding the Fourth Proportional to 46,666.32, 64,405.07 and 29,463.68

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Solution

The fourth proportional to 46,666.32, 64,405.07 and 29,463.68 is: 40,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,666.32 : 64,405.07 = 29,463.68 : x
  2. Step 2: Convert to fraction form
    46,666.32/64,405.07 = 29,463.68/x
  3. Step 3: Cross multiply
    46,666.32x = 64,405.07 × 29,463.68
  4. Step 4: Simplify right side
    46,666.32x = 1,897,610,372.86
  5. Step 5: Solve for x
    x = 1,897,610,372.86/46,666.32
  6. Step 6: Final answer
    x = 40,663.38

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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.