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Finding the Fourth Proportional to 28,599, 42,899.94 and 10,132.44

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Solution

The fourth proportional to 28,599, 42,899.94 and 10,132.44 is: 15,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,599 : 42,899.94 = 10,132.44 : x
  2. Step 2: Convert to fraction form
    28,599/42,899.94 = 10,132.44/x
  3. Step 3: Cross multiply
    28,599x = 42,899.94 × 10,132.44
  4. Step 4: Simplify right side
    28,599x = 434,681,068.05
  5. Step 5: Solve for x
    x = 434,681,068.05/28,599
  6. Step 6: Final answer
    x = 15,199.17

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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.