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Finding the Fourth Proportional to 28,358.77, 42,538.16 and 11,700.50

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Solution

The fourth proportional to 28,358.77, 42,538.16 and 11,700.50 is: 17,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.77 : 42,538.16 = 11,700.50 : x
  2. Step 2: Convert to fraction form
    28,358.77/42,538.16 = 11,700.50/x
  3. Step 3: Cross multiply
    28,358.77x = 42,538.16 × 11,700.50
  4. Step 4: Simplify right side
    28,358.77x = 497,717,605.48
  5. Step 5: Solve for x
    x = 497,717,605.48/28,358.77
  6. Step 6: Final answer
    x = 17,550.75

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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.