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Finding the Fourth Proportional to 39,513, 59,292.78 and 14,570.46

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Solution

The fourth proportional to 39,513, 59,292.78 and 14,570.46 is: 21,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513 : 59,292.78 = 14,570.46 : x
  2. Step 2: Convert to fraction form
    39,513/59,292.78 = 14,570.46/x
  3. Step 3: Cross multiply
    39,513x = 59,292.78 × 14,570.46
  4. Step 4: Simplify right side
    39,513x = 863,923,079.28
  5. Step 5: Solve for x
    x = 863,923,079.28/39,513
  6. Step 6: Final answer
    x = 21,864.27

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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.