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Finding the Fourth Proportional to 85,573.84, 128,368.16 and 22,393.70

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Solution

The fourth proportional to 85,573.84, 128,368.16 and 22,393.70 is: 33,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,573.84 : 128,368.16 = 22,393.70 : x
  2. Step 2: Convert to fraction form
    85,573.84/128,368.16 = 22,393.70/x
  3. Step 3: Cross multiply
    85,573.84x = 128,368.16 × 22,393.70
  4. Step 4: Simplify right side
    85,573.84x = 2,874,638,064.59
  5. Step 5: Solve for x
    x = 2,874,638,064.59/85,573.84
  6. Step 6: Final answer
    x = 33,592.49

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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.