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Finding the Fourth Proportional to 78,318.92, 108,030.93 and 46,465.25

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Solution

The fourth proportional to 78,318.92, 108,030.93 and 46,465.25 is: 64,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.92 : 108,030.93 = 46,465.25 : x
  2. Step 2: Convert to fraction form
    78,318.92/108,030.93 = 46,465.25/x
  3. Step 3: Cross multiply
    78,318.92x = 108,030.93 × 46,465.25
  4. Step 4: Simplify right side
    78,318.92x = 5,019,684,170.18
  5. Step 5: Solve for x
    x = 5,019,684,170.18/78,318.92
  6. Step 6: Final answer
    x = 64,092.87

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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.