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Finding the Fourth Proportional to 30,245.88, 45,368.82 and 9,471

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Solution

The fourth proportional to 30,245.88, 45,368.82 and 9,471 is: 14,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245.88 : 45,368.82 = 9,471 : x
  2. Step 2: Convert to fraction form
    30,245.88/45,368.82 = 9,471/x
  3. Step 3: Cross multiply
    30,245.88x = 45,368.82 × 9,471
  4. Step 4: Simplify right side
    30,245.88x = 429,688,094.22
  5. Step 5: Solve for x
    x = 429,688,094.22/30,245.88
  6. Step 6: Final answer
    x = 14,206.50

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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.