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Finding the Fourth Proportional to 52,034, 78,048.25 and 14,596.67

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Solution

The fourth proportional to 52,034, 78,048.25 and 14,596.67 is: 21,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 78,048.25 = 14,596.67 : x
  2. Step 2: Convert to fraction form
    52,034/78,048.25 = 14,596.67/x
  3. Step 3: Cross multiply
    52,034x = 78,048.25 × 14,596.67
  4. Step 4: Simplify right side
    52,034x = 1,139,244,549.33
  5. Step 5: Solve for x
    x = 1,139,244,549.33/52,034
  6. Step 6: Final answer
    x = 21,894.23

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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.