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Finding the Fourth Proportional to 30,107.58, 45,070.65 and 24,215.10

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Solution

The fourth proportional to 30,107.58, 45,070.65 and 24,215.10 is: 36,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.58 : 45,070.65 = 24,215.10 : x
  2. Step 2: Convert to fraction form
    30,107.58/45,070.65 = 24,215.10/x
  3. Step 3: Cross multiply
    30,107.58x = 45,070.65 × 24,215.10
  4. Step 4: Simplify right side
    30,107.58x = 1,091,390,296.82
  5. Step 5: Solve for x
    x = 1,091,390,296.82/30,107.58
  6. Step 6: Final answer
    x = 36,249.69

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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.