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Finding the Fourth Proportional to 47,107.60, 70,655.83 and 15,509.90

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Solution

The fourth proportional to 47,107.60, 70,655.83 and 15,509.90 is: 23,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107.60 : 70,655.83 = 15,509.90 : x
  2. Step 2: Convert to fraction form
    47,107.60/70,655.83 = 15,509.90/x
  3. Step 3: Cross multiply
    47,107.60x = 70,655.83 × 15,509.90
  4. Step 4: Simplify right side
    47,107.60x = 1,095,864,995.58
  5. Step 5: Solve for x
    x = 1,095,864,995.58/47,107.60
  6. Step 6: Final answer
    x = 23,263.02

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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.