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Finding the Fourth Proportional to 101,883.36, 152,828.96 and 48,547.84

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Solution

The fourth proportional to 101,883.36, 152,828.96 and 48,547.84 is: 72,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,883.36 : 152,828.96 = 48,547.84 : x
  2. Step 2: Convert to fraction form
    101,883.36/152,828.96 = 48,547.84/x
  3. Step 3: Cross multiply
    101,883.36x = 152,828.96 × 48,547.84
  4. Step 4: Simplify right side
    101,883.36x = 7,419,515,897.45
  5. Step 5: Solve for x
    x = 7,419,515,897.45/101,883.36
  6. Step 6: Final answer
    x = 72,823.63

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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.