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Finding the Fourth Proportional to 59,784.21, 89,686.04 and 20,337.21

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Solution

The fourth proportional to 59,784.21, 89,686.04 and 20,337.21 is: 30,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784.21 : 89,686.04 = 20,337.21 : x
  2. Step 2: Convert to fraction form
    59,784.21/89,686.04 = 20,337.21/x
  3. Step 3: Cross multiply
    59,784.21x = 89,686.04 × 20,337.21
  4. Step 4: Simplify right side
    59,784.21x = 1,823,963,727.86
  5. Step 5: Solve for x
    x = 1,823,963,727.86/59,784.21
  6. Step 6: Final answer
    x = 30,509.12

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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.