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Finding the Fourth Proportional to 82,792.72, 114,192.34 and 52,551.78

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Solution

The fourth proportional to 82,792.72, 114,192.34 and 52,551.78 is: 72,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,792.72 : 114,192.34 = 52,551.78 : x
  2. Step 2: Convert to fraction form
    82,792.72/114,192.34 = 52,551.78/x
  3. Step 3: Cross multiply
    82,792.72x = 114,192.34 × 52,551.78
  4. Step 4: Simplify right side
    82,792.72x = 6,001,010,729.37
  5. Step 5: Solve for x
    x = 6,001,010,729.37/82,792.72
  6. Step 6: Final answer
    x = 72,482.35

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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.