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Finding the Fourth Proportional to 109,685, 164,527.53 and 39,564.31

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Solution

The fourth proportional to 109,685, 164,527.53 and 39,564.31 is: 59,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,685 : 164,527.53 = 39,564.31 : x
  2. Step 2: Convert to fraction form
    109,685/164,527.53 = 39,564.31/x
  3. Step 3: Cross multiply
    109,685x = 164,527.53 × 39,564.31
  4. Step 4: Simplify right side
    109,685x = 6,509,417,180.00
  5. Step 5: Solve for x
    x = 6,509,417,180.00/109,685
  6. Step 6: Final answer
    x = 59,346.47

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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.