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Finding the Fourth Proportional to 30,457.53, 45,691.23 and 9,392.66

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Solution

The fourth proportional to 30,457.53, 45,691.23 and 9,392.66 is: 14,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.53 : 45,691.23 = 9,392.66 : x
  2. Step 2: Convert to fraction form
    30,457.53/45,691.23 = 9,392.66/x
  3. Step 3: Cross multiply
    30,457.53x = 45,691.23 × 9,392.66
  4. Step 4: Simplify right side
    30,457.53x = 429,161,959.92
  5. Step 5: Solve for x
    x = 429,161,959.92/30,457.53
  6. Step 6: Final answer
    x = 14,090.50

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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.