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Finding the Fourth Proportional to 30,562.51, 45,828.64 and 10,838.11

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Solution

The fourth proportional to 30,562.51, 45,828.64 and 10,838.11 is: 16,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.51 : 45,828.64 = 10,838.11 : x
  2. Step 2: Convert to fraction form
    30,562.51/45,828.64 = 10,838.11/x
  3. Step 3: Cross multiply
    30,562.51x = 45,828.64 × 10,838.11
  4. Step 4: Simplify right side
    30,562.51x = 496,695,841.47
  5. Step 5: Solve for x
    x = 496,695,841.47/30,562.51
  6. Step 6: Final answer
    x = 16,251.80

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1.5x scale

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.