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Finding the Fourth Proportional to 30,128.82, 45,178.65 and 10,400.46

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Solution

The fourth proportional to 30,128.82, 45,178.65 and 10,400.46 is: 15,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,128.82 : 45,178.65 = 10,400.46 : x
  2. Step 2: Convert to fraction form
    30,128.82/45,178.65 = 10,400.46/x
  3. Step 3: Cross multiply
    30,128.82x = 45,178.65 × 10,400.46
  4. Step 4: Simplify right side
    30,128.82x = 469,878,742.18
  5. Step 5: Solve for x
    x = 469,878,742.18/30,128.82
  6. Step 6: Final answer
    x = 15,595.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.