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Finding the Fourth Proportional to 64,872.34, 89,530.04 and 40,677.16

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Solution

The fourth proportional to 64,872.34, 89,530.04 and 40,677.16 is: 56,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,872.34 : 89,530.04 = 40,677.16 : x
  2. Step 2: Convert to fraction form
    64,872.34/89,530.04 = 40,677.16/x
  3. Step 3: Cross multiply
    64,872.34x = 89,530.04 × 40,677.16
  4. Step 4: Simplify right side
    64,872.34x = 3,641,827,761.89
  5. Step 5: Solve for x
    x = 3,641,827,761.89/64,872.34
  6. Step 6: Final answer
    x = 56,138.38

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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.