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Finding the Fourth Proportional to 77,322.60, 115,807.86 and 46,093.32

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Solution

The fourth proportional to 77,322.60, 115,807.86 and 46,093.32 is: 69,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,322.60 : 115,807.86 = 46,093.32 : x
  2. Step 2: Convert to fraction form
    77,322.60/115,807.86 = 46,093.32/x
  3. Step 3: Cross multiply
    77,322.60x = 115,807.86 × 46,093.32
  4. Step 4: Simplify right side
    77,322.60x = 5,337,968,749.50
  5. Step 5: Solve for x
    x = 5,337,968,749.50/77,322.60
  6. Step 6: Final answer
    x = 69,035.04

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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.