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Finding the Fourth Proportional to 78,458.38, 108,288.30 and 46,621.14

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Solution

The fourth proportional to 78,458.38, 108,288.30 and 46,621.14 is: 64,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.38 : 108,288.30 = 46,621.14 : x
  2. Step 2: Convert to fraction form
    78,458.38/108,288.30 = 46,621.14/x
  3. Step 3: Cross multiply
    78,458.38x = 108,288.30 × 46,621.14
  4. Step 4: Simplify right side
    78,458.38x = 5,048,523,994.66
  5. Step 5: Solve for x
    x = 5,048,523,994.66/78,458.38
  6. Step 6: Final answer
    x = 64,346.52

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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.