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Finding the Fourth Proportional to 30,336.12, 45,502.56 and 9,558

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Solution

The fourth proportional to 30,336.12, 45,502.56 and 9,558 is: 14,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336.12 : 45,502.56 = 9,558 : x
  2. Step 2: Convert to fraction form
    30,336.12/45,502.56 = 9,558/x
  3. Step 3: Cross multiply
    30,336.12x = 45,502.56 × 9,558
  4. Step 4: Simplify right side
    30,336.12x = 434,913,468.48
  5. Step 5: Solve for x
    x = 434,913,468.48/30,336.12
  6. Step 6: Final answer
    x = 14,336.49

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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.