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Finding the Fourth Proportional to 77,196.48, 115,802.28 and 39,653.52

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Solution

The fourth proportional to 77,196.48, 115,802.28 and 39,653.52 is: 59,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.48 : 115,802.28 = 39,653.52 : x
  2. Step 2: Convert to fraction form
    77,196.48/115,802.28 = 39,653.52/x
  3. Step 3: Cross multiply
    77,196.48x = 115,802.28 × 39,653.52
  4. Step 4: Simplify right side
    77,196.48x = 4,591,968,026.03
  5. Step 5: Solve for x
    x = 4,591,968,026.03/77,196.48
  6. Step 6: Final answer
    x = 59,484.16

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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.