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Finding the Fourth Proportional to 30,543.68, 45,822.70 and 9,482.64

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Solution

The fourth proportional to 30,543.68, 45,822.70 and 9,482.64 is: 14,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.68 : 45,822.70 = 9,482.64 : x
  2. Step 2: Convert to fraction form
    30,543.68/45,822.70 = 9,482.64/x
  3. Step 3: Cross multiply
    30,543.68x = 45,822.70 × 9,482.64
  4. Step 4: Simplify right side
    30,543.68x = 434,519,954.61
  5. Step 5: Solve for x
    x = 434,519,954.61/30,543.68
  6. Step 6: Final answer
    x = 14,226.18

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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.