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Finding the Fourth Proportional to 113,973.46, 171,005.76 and 47,459.50

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Solution

The fourth proportional to 113,973.46, 171,005.76 and 47,459.50 is: 71,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,973.46 : 171,005.76 = 47,459.50 : x
  2. Step 2: Convert to fraction form
    113,973.46/171,005.76 = 47,459.50/x
  3. Step 3: Cross multiply
    113,973.46x = 171,005.76 × 47,459.50
  4. Step 4: Simplify right side
    113,973.46x = 8,115,847,866.72
  5. Step 5: Solve for x
    x = 8,115,847,866.72/113,973.46
  6. Step 6: Final answer
    x = 71,208.23

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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.