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Finding the Fourth Proportional to 64,969.96, 97,489.12 and 46,116.40

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Solution

The fourth proportional to 64,969.96, 97,489.12 and 46,116.40 is: 69,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969.96 : 97,489.12 = 46,116.40 : x
  2. Step 2: Convert to fraction form
    64,969.96/97,489.12 = 46,116.40/x
  3. Step 3: Cross multiply
    64,969.96x = 97,489.12 × 46,116.40
  4. Step 4: Simplify right side
    64,969.96x = 4,495,847,253.57
  5. Step 5: Solve for x
    x = 4,495,847,253.57/64,969.96
  6. Step 6: Final answer
    x = 69,198.86

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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.