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Finding the Fourth Proportional to 82,900.75, 114,403.05 and 45,175

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Solution

The fourth proportional to 82,900.75, 114,403.05 and 45,175 is: 62,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900.75 : 114,403.05 = 45,175 : x
  2. Step 2: Convert to fraction form
    82,900.75/114,403.05 = 45,175/x
  3. Step 3: Cross multiply
    82,900.75x = 114,403.05 × 45,175
  4. Step 4: Simplify right side
    82,900.75x = 5,168,157,783.75
  5. Step 5: Solve for x
    x = 5,168,157,783.75/82,900.75
  6. Step 6: Final answer
    x = 62,341.51

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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.