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Finding the Fourth Proportional to 46,965.15, 64,836.86 and 31,938.03

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Solution

The fourth proportional to 46,965.15, 64,836.86 and 31,938.03 is: 44,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965.15 : 64,836.86 = 31,938.03 : x
  2. Step 2: Convert to fraction form
    46,965.15/64,836.86 = 31,938.03/x
  3. Step 3: Cross multiply
    46,965.15x = 64,836.86 × 31,938.03
  4. Step 4: Simplify right side
    46,965.15x = 2,070,761,420.10
  5. Step 5: Solve for x
    x = 2,070,761,420.10/46,965.15
  6. Step 6: Final answer
    x = 44,091.45

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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.