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Finding the Fourth Proportional to 78,572.56, 108,411.21 and 46,308.46

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Solution

The fourth proportional to 78,572.56, 108,411.21 and 46,308.46 is: 63,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.56 : 108,411.21 = 46,308.46 : x
  2. Step 2: Convert to fraction form
    78,572.56/108,411.21 = 46,308.46/x
  3. Step 3: Cross multiply
    78,572.56x = 108,411.21 × 46,308.46
  4. Step 4: Simplify right side
    78,572.56x = 5,020,355,408.24
  5. Step 5: Solve for x
    x = 5,020,355,408.24/78,572.56
  6. Step 6: Final answer
    x = 63,894.52

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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.