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Finding the Fourth Proportional to 30,539.34, 45,815.52 and 9,478.92

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Solution

The fourth proportional to 30,539.34, 45,815.52 and 9,478.92 is: 14,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.34 : 45,815.52 = 9,478.92 : x
  2. Step 2: Convert to fraction form
    30,539.34/45,815.52 = 9,478.92/x
  3. Step 3: Cross multiply
    30,539.34x = 45,815.52 × 9,478.92
  4. Step 4: Simplify right side
    30,539.34x = 434,281,648.84
  5. Step 5: Solve for x
    x = 434,281,648.84/30,539.34
  6. Step 6: Final answer
    x = 14,220.40

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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.