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Finding the Fourth Proportional to 78,509.70, 108,341.10 and 44,521.38

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Solution

The fourth proportional to 78,509.70, 108,341.10 and 44,521.38 is: 61,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.70 : 108,341.10 = 44,521.38 : x
  2. Step 2: Convert to fraction form
    78,509.70/108,341.10 = 44,521.38/x
  3. Step 3: Cross multiply
    78,509.70x = 108,341.10 × 44,521.38
  4. Step 4: Simplify right side
    78,509.70x = 4,823,495,282.72
  5. Step 5: Solve for x
    x = 4,823,495,282.72/78,509.70
  6. Step 6: Final answer
    x = 61,438.21

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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.