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Finding the Fourth Proportional to 56,466.38, 77,926.83 and 34,117.58

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Solution

The fourth proportional to 56,466.38, 77,926.83 and 34,117.58 is: 47,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466.38 : 77,926.83 = 34,117.58 : x
  2. Step 2: Convert to fraction form
    56,466.38/77,926.83 = 34,117.58/x
  3. Step 3: Cross multiply
    56,466.38x = 77,926.83 × 34,117.58
  4. Step 4: Simplify right side
    56,466.38x = 2,658,674,856.67
  5. Step 5: Solve for x
    x = 2,658,674,856.67/56,466.38
  6. Step 6: Final answer
    x = 47,084.21

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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.