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Finding the Fourth Proportional to 30,617.48, 45,927.93 and 9,560.43

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Solution

The fourth proportional to 30,617.48, 45,927.93 and 9,560.43 is: 14,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.48 : 45,927.93 = 9,560.43 : x
  2. Step 2: Convert to fraction form
    30,617.48/45,927.93 = 9,560.43/x
  3. Step 3: Cross multiply
    30,617.48x = 45,927.93 × 9,560.43
  4. Step 4: Simplify right side
    30,617.48x = 439,090,759.81
  5. Step 5: Solve for x
    x = 439,090,759.81/30,617.48
  6. Step 6: Final answer
    x = 14,341.18

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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.