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Finding the Fourth Proportional to 39,381.12, 59,071.91 and 9,798.96

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Solution

The fourth proportional to 39,381.12, 59,071.91 and 9,798.96 is: 14,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381.12 : 59,071.91 = 9,798.96 : x
  2. Step 2: Convert to fraction form
    39,381.12/59,071.91 = 9,798.96/x
  3. Step 3: Cross multiply
    39,381.12x = 59,071.91 × 9,798.96
  4. Step 4: Simplify right side
    39,381.12x = 578,843,234.22
  5. Step 5: Solve for x
    x = 578,843,234.22/39,381.12
  6. Step 6: Final answer
    x = 14,698.50

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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.