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Finding the Fourth Proportional to 96,646.50, 144,969.75 and 26,525.81

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Solution

The fourth proportional to 96,646.50, 144,969.75 and 26,525.81 is: 39,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,646.50 : 144,969.75 = 26,525.81 : x
  2. Step 2: Convert to fraction form
    96,646.50/144,969.75 = 26,525.81/x
  3. Step 3: Cross multiply
    96,646.50x = 144,969.75 × 26,525.81
  4. Step 4: Simplify right side
    96,646.50x = 3,845,440,406.67
  5. Step 5: Solve for x
    x = 3,845,440,406.67/96,646.50
  6. Step 6: Final answer
    x = 39,788.72

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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.