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Finding the Fourth Proportional to 50,010, 74,477.64 and 47,850.96

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Solution

The fourth proportional to 50,010, 74,477.64 and 47,850.96 is: 71,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010 : 74,477.64 = 47,850.96 : x
  2. Step 2: Convert to fraction form
    50,010/74,477.64 = 47,850.96/x
  3. Step 3: Cross multiply
    50,010x = 74,477.64 × 47,850.96
  4. Step 4: Simplify right side
    50,010x = 3,563,826,572.53
  5. Step 5: Solve for x
    x = 3,563,826,572.53/50,010
  6. Step 6: Final answer
    x = 71,262.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.