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Finding the Fourth Proportional to 78,573.24, 117,859.24 and 52,038

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Solution

The fourth proportional to 78,573.24, 117,859.24 and 52,038 is: 78,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573.24 : 117,859.24 = 52,038 : x
  2. Step 2: Convert to fraction form
    78,573.24/117,859.24 = 52,038/x
  3. Step 3: Cross multiply
    78,573.24x = 117,859.24 × 52,038
  4. Step 4: Simplify right side
    78,573.24x = 6,133,159,131.12
  5. Step 5: Solve for x
    x = 6,133,159,131.12/78,573.24
  6. Step 6: Final answer
    x = 78,056.59

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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.