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Finding the Fourth Proportional to 82,925, 114,436.58 and 45,199.40

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Solution

The fourth proportional to 82,925, 114,436.58 and 45,199.40 is: 62,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,925 : 114,436.58 = 45,199.40 : x
  2. Step 2: Convert to fraction form
    82,925/114,436.58 = 45,199.40/x
  3. Step 3: Cross multiply
    82,925x = 114,436.58 × 45,199.40
  4. Step 4: Simplify right side
    82,925x = 5,172,464,754.05
  5. Step 5: Solve for x
    x = 5,172,464,754.05/82,925
  6. Step 6: Final answer
    x = 62,375.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.