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Finding the Fourth Proportional to 30,575.99, 45,870.87 and 10,854.52

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Solution

The fourth proportional to 30,575.99, 45,870.87 and 10,854.52 is: 16,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.99 : 45,870.87 = 10,854.52 : x
  2. Step 2: Convert to fraction form
    30,575.99/45,870.87 = 10,854.52/x
  3. Step 3: Cross multiply
    30,575.99x = 45,870.87 × 10,854.52
  4. Step 4: Simplify right side
    30,575.99x = 497,906,275.83
  5. Step 5: Solve for x
    x = 497,906,275.83/30,575.99
  6. Step 6: Final answer
    x = 16,284.22

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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.