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Finding the Fourth Proportional to 52,509.66, 78,659.59 and 35,828.31

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Solution

The fourth proportional to 52,509.66, 78,659.59 and 35,828.31 is: 53,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.66 : 78,659.59 = 35,828.31 : x
  2. Step 2: Convert to fraction form
    52,509.66/78,659.59 = 35,828.31/x
  3. Step 3: Cross multiply
    52,509.66x = 78,659.59 × 35,828.31
  4. Step 4: Simplify right side
    52,509.66x = 2,818,240,174.99
  5. Step 5: Solve for x
    x = 2,818,240,174.99/52,509.66
  6. Step 6: Final answer
    x = 53,670.89

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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.