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Finding the Fourth Proportional to 30,246.48, 45,374.40 and 9,468

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Solution

The fourth proportional to 30,246.48, 45,374.40 and 9,468 is: 14,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.48 : 45,374.40 = 9,468 : x
  2. Step 2: Convert to fraction form
    30,246.48/45,374.40 = 9,468/x
  3. Step 3: Cross multiply
    30,246.48x = 45,374.40 × 9,468
  4. Step 4: Simplify right side
    30,246.48x = 429,604,819.20
  5. Step 5: Solve for x
    x = 429,604,819.20/30,246.48
  6. Step 6: Final answer
    x = 14,203.46

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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.