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Finding the Fourth Proportional to 35,006.86, 48,307.56 and 19,897.42

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Solution

The fourth proportional to 35,006.86, 48,307.56 and 19,897.42 is: 27,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006.86 : 48,307.56 = 19,897.42 : x
  2. Step 2: Convert to fraction form
    35,006.86/48,307.56 = 19,897.42/x
  3. Step 3: Cross multiply
    35,006.86x = 48,307.56 × 19,897.42
  4. Step 4: Simplify right side
    35,006.86x = 961,196,009.44
  5. Step 5: Solve for x
    x = 961,196,009.44/35,006.86
  6. Step 6: Final answer
    x = 27,457.36

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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.