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Finding the Fourth Proportional to 74,590, 102,934.20 and 41,056

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Solution

The fourth proportional to 74,590, 102,934.20 and 41,056 is: 56,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,590 : 102,934.20 = 41,056 : x
  2. Step 2: Convert to fraction form
    74,590/102,934.20 = 41,056/x
  3. Step 3: Cross multiply
    74,590x = 102,934.20 × 41,056
  4. Step 4: Simplify right side
    74,590x = 4,226,066,515.20
  5. Step 5: Solve for x
    x = 4,226,066,515.20/74,590
  6. Step 6: Final answer
    x = 56,657.28

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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.