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Finding the Fourth Proportional to 52,034, 78,048.26 and 14,596.68

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Solution

The fourth proportional to 52,034, 78,048.26 and 14,596.68 is: 21,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 78,048.26 = 14,596.68 : x
  2. Step 2: Convert to fraction form
    52,034/78,048.26 = 14,596.68/x
  3. Step 3: Cross multiply
    52,034x = 78,048.26 × 14,596.68
  4. Step 4: Simplify right side
    52,034x = 1,139,245,475.78
  5. Step 5: Solve for x
    x = 1,139,245,475.78/52,034
  6. Step 6: Final answer
    x = 21,894.25

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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.