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Finding the Fourth Proportional to 55,778, 83,695.80 and 37,070.96

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Solution

The fourth proportional to 55,778, 83,695.80 and 37,070.96 is: 55,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778 : 83,695.80 = 37,070.96 : x
  2. Step 2: Convert to fraction form
    55,778/83,695.80 = 37,070.96/x
  3. Step 3: Cross multiply
    55,778x = 83,695.80 × 37,070.96
  4. Step 4: Simplify right side
    55,778x = 3,102,683,653.97
  5. Step 5: Solve for x
    x = 3,102,683,653.97/55,778
  6. Step 6: Final answer
    x = 55,625.58

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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.