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Finding the Fourth Proportional to 29,303.41, 43,957.82 and 9,582.07

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Solution

The fourth proportional to 29,303.41, 43,957.82 and 9,582.07 is: 14,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,303.41 : 43,957.82 = 9,582.07 : x
  2. Step 2: Convert to fraction form
    29,303.41/43,957.82 = 9,582.07/x
  3. Step 3: Cross multiply
    29,303.41x = 43,957.82 × 9,582.07
  4. Step 4: Simplify right side
    29,303.41x = 421,206,860.38
  5. Step 5: Solve for x
    x = 421,206,860.38/29,303.41
  6. Step 6: Final answer
    x = 14,373.99

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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.