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Finding the Fourth Proportional to 83,007.16, 114,586.98 and 56,230.99

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Solution

The fourth proportional to 83,007.16, 114,586.98 and 56,230.99 is: 77,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.16 : 114,586.98 = 56,230.99 : x
  2. Step 2: Convert to fraction form
    83,007.16/114,586.98 = 56,230.99/x
  3. Step 3: Cross multiply
    83,007.16x = 114,586.98 × 56,230.99
  4. Step 4: Simplify right side
    83,007.16x = 6,443,339,326.51
  5. Step 5: Solve for x
    x = 6,443,339,326.51/83,007.16
  6. Step 6: Final answer
    x = 77,623.90

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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.