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Finding the Fourth Proportional to 85,933, 128,894.32 and 51,094.36

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Solution

The fourth proportional to 85,933, 128,894.32 and 51,094.36 is: 76,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,933 : 128,894.32 = 51,094.36 : x
  2. Step 2: Convert to fraction form
    85,933/128,894.32 = 51,094.36/x
  3. Step 3: Cross multiply
    85,933x = 128,894.32 × 51,094.36
  4. Step 4: Simplify right side
    85,933x = 6,585,772,788.04
  5. Step 5: Solve for x
    x = 6,585,772,788.04/85,933
  6. Step 6: Final answer
    x = 76,638.46

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