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Finding the Fourth Proportional to 52,570.96, 78,809.54 and 19,283.24

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Solution

The fourth proportional to 52,570.96, 78,809.54 and 19,283.24 is: 28,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.96 : 78,809.54 = 19,283.24 : x
  2. Step 2: Convert to fraction form
    52,570.96/78,809.54 = 19,283.24/x
  3. Step 3: Cross multiply
    52,570.96x = 78,809.54 × 19,283.24
  4. Step 4: Simplify right side
    52,570.96x = 1,519,703,274.11
  5. Step 5: Solve for x
    x = 1,519,703,274.11/52,570.96
  6. Step 6: Final answer
    x = 28,907.66

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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.