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Finding the Fourth Proportional to 29,140.44, 43,710.66 and 9,419.00

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Solution

The fourth proportional to 29,140.44, 43,710.66 and 9,419.00 is: 14,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.44 : 43,710.66 = 9,419.00 : x
  2. Step 2: Convert to fraction form
    29,140.44/43,710.66 = 9,419.00/x
  3. Step 3: Cross multiply
    29,140.44x = 43,710.66 × 9,419.00
  4. Step 4: Simplify right side
    29,140.44x = 411,710,687.22
  5. Step 5: Solve for x
    x = 411,710,687.22/29,140.44
  6. Step 6: Final answer
    x = 14,128.50

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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.