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Finding the Fourth Proportional to 77,509.58, 116,265.02 and 21,352.82

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Solution

The fourth proportional to 77,509.58, 116,265.02 and 21,352.82 is: 32,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,509.58 : 116,265.02 = 21,352.82 : x
  2. Step 2: Convert to fraction form
    77,509.58/116,265.02 = 21,352.82/x
  3. Step 3: Cross multiply
    77,509.58x = 116,265.02 × 21,352.82
  4. Step 4: Simplify right side
    77,509.58x = 2,482,585,356.27
  5. Step 5: Solve for x
    x = 2,482,585,356.27/77,509.58
  6. Step 6: Final answer
    x = 32,029.40

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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.