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Finding the Fourth Proportional to 28,718.82, 43,078.22 and 13,125.50

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Solution

The fourth proportional to 28,718.82, 43,078.22 and 13,125.50 is: 19,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,718.82 : 43,078.22 = 13,125.50 : x
  2. Step 2: Convert to fraction form
    28,718.82/43,078.22 = 13,125.50/x
  3. Step 3: Cross multiply
    28,718.82x = 43,078.22 × 13,125.50
  4. Step 4: Simplify right side
    28,718.82x = 565,423,176.61
  5. Step 5: Solve for x
    x = 565,423,176.61/28,718.82
  6. Step 6: Final answer
    x = 19,688.25

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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.