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Finding the Fourth Proportional to 30,411.06, 45,620.96 and 9,352.88

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Solution

The fourth proportional to 30,411.06, 45,620.96 and 9,352.88 is: 14,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.06 : 45,620.96 = 9,352.88 : x
  2. Step 2: Convert to fraction form
    30,411.06/45,620.96 = 9,352.88/x
  3. Step 3: Cross multiply
    30,411.06x = 45,620.96 × 9,352.88
  4. Step 4: Simplify right side
    30,411.06x = 426,687,089.50
  5. Step 5: Solve for x
    x = 426,687,089.50/30,411.06
  6. Step 6: Final answer
    x = 14,030.65

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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.