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Finding the Fourth Proportional to 64,141.98, 88,516.26 and 35,848.14

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Solution

The fourth proportional to 64,141.98, 88,516.26 and 35,848.14 is: 49,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,141.98 : 88,516.26 = 35,848.14 : x
  2. Step 2: Convert to fraction form
    64,141.98/88,516.26 = 35,848.14/x
  3. Step 3: Cross multiply
    64,141.98x = 88,516.26 × 35,848.14
  4. Step 4: Simplify right side
    64,141.98x = 3,173,143,280.76
  5. Step 5: Solve for x
    x = 3,173,143,280.76/64,141.98
  6. Step 6: Final answer
    x = 49,470.62

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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.