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Finding the Fourth Proportional to 52,447.83, 78,671.81 and 40,038.31

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Solution

The fourth proportional to 52,447.83, 78,671.81 and 40,038.31 is: 60,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,447.83 : 78,671.81 = 40,038.31 : x
  2. Step 2: Convert to fraction form
    52,447.83/78,671.81 = 40,038.31/x
  3. Step 3: Cross multiply
    52,447.83x = 78,671.81 × 40,038.31
  4. Step 4: Simplify right side
    52,447.83x = 3,149,886,220.46
  5. Step 5: Solve for x
    x = 3,149,886,220.46/52,447.83
  6. Step 6: Final answer
    x = 60,057.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.