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Finding the Fourth Proportional to 47,259.50, 70,865.14 and 15,658.16

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Solution

The fourth proportional to 47,259.50, 70,865.14 and 15,658.16 is: 23,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259.50 : 70,865.14 = 15,658.16 : x
  2. Step 2: Convert to fraction form
    47,259.50/70,865.14 = 15,658.16/x
  3. Step 3: Cross multiply
    47,259.50x = 70,865.14 × 15,658.16
  4. Step 4: Simplify right side
    47,259.50x = 1,109,617,700.54
  5. Step 5: Solve for x
    x = 1,109,617,700.54/47,259.50
  6. Step 6: Final answer
    x = 23,479.25

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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.