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Finding the Fourth Proportional to 56,110.96, 77,461.17 and 34,897.06

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Solution

The fourth proportional to 56,110.96, 77,461.17 and 34,897.06 is: 48,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,110.96 : 77,461.17 = 34,897.06 : x
  2. Step 2: Convert to fraction form
    56,110.96/77,461.17 = 34,897.06/x
  3. Step 3: Cross multiply
    56,110.96x = 77,461.17 × 34,897.06
  4. Step 4: Simplify right side
    56,110.96x = 2,703,167,097.16
  5. Step 5: Solve for x
    x = 2,703,167,097.16/56,110.96
  6. Step 6: Final answer
    x = 48,175.38

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Why These Related Problems?

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