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Finding the Fourth Proportional to 50,598.10, 75,897.15 and 19,434.10

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Solution

The fourth proportional to 50,598.10, 75,897.15 and 19,434.10 is: 29,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598.10 : 75,897.15 = 19,434.10 : x
  2. Step 2: Convert to fraction form
    50,598.10/75,897.15 = 19,434.10/x
  3. Step 3: Cross multiply
    50,598.10x = 75,897.15 × 19,434.10
  4. Step 4: Simplify right side
    50,598.10x = 1,474,992,802.82
  5. Step 5: Solve for x
    x = 1,474,992,802.82/50,598.10
  6. Step 6: Final answer
    x = 29,151.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.