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Finding the Fourth Proportional to 83,280.42, 114,927.03 and 45,554.67

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Solution

The fourth proportional to 83,280.42, 114,927.03 and 45,554.67 is: 62,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,280.42 : 114,927.03 = 45,554.67 : x
  2. Step 2: Convert to fraction form
    83,280.42/114,927.03 = 45,554.67/x
  3. Step 3: Cross multiply
    83,280.42x = 114,927.03 × 45,554.67
  4. Step 4: Simplify right side
    83,280.42x = 5,235,462,925.73
  5. Step 5: Solve for x
    x = 5,235,462,925.73/83,280.42
  6. Step 6: Final answer
    x = 62,865.47

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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.