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Finding the Fourth Proportional to 47,260.50, 70,866.64 and 15,659.16

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Solution

The fourth proportional to 47,260.50, 70,866.64 and 15,659.16 is: 23,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,260.50 : 70,866.64 = 15,659.16 : x
  2. Step 2: Convert to fraction form
    47,260.50/70,866.64 = 15,659.16/x
  3. Step 3: Cross multiply
    47,260.50x = 70,866.64 × 15,659.16
  4. Step 4: Simplify right side
    47,260.50x = 1,109,712,054.42
  5. Step 5: Solve for x
    x = 1,109,712,054.42/47,260.50
  6. Step 6: Final answer
    x = 23,480.75

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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.