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Finding the Fourth Proportional to 35,507.13, 49,000.14 and 19,592.64

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Solution

The fourth proportional to 35,507.13, 49,000.14 and 19,592.64 is: 27,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.13 : 49,000.14 = 19,592.64 : x
  2. Step 2: Convert to fraction form
    35,507.13/49,000.14 = 19,592.64/x
  3. Step 3: Cross multiply
    35,507.13x = 49,000.14 × 19,592.64
  4. Step 4: Simplify right side
    35,507.13x = 960,042,102.97
  5. Step 5: Solve for x
    x = 960,042,102.97/35,507.13
  6. Step 6: Final answer
    x = 27,038.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.