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Finding the Fourth Proportional to 74,557, 102,888.66 and 41,023

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Solution

The fourth proportional to 74,557, 102,888.66 and 41,023 is: 56,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,557 : 102,888.66 = 41,023 : x
  2. Step 2: Convert to fraction form
    74,557/102,888.66 = 41,023/x
  3. Step 3: Cross multiply
    74,557x = 102,888.66 × 41,023
  4. Step 4: Simplify right side
    74,557x = 4,220,801,499.18
  5. Step 5: Solve for x
    x = 4,220,801,499.18/74,557
  6. Step 6: Final answer
    x = 56,611.74

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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.