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Finding the Fourth Proportional to 47,384.80, 65,391.50 and 26,164.01

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Solution

The fourth proportional to 47,384.80, 65,391.50 and 26,164.01 is: 36,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,384.80 : 65,391.50 = 26,164.01 : x
  2. Step 2: Convert to fraction form
    47,384.80/65,391.50 = 26,164.01/x
  3. Step 3: Cross multiply
    47,384.80x = 65,391.50 × 26,164.01
  4. Step 4: Simplify right side
    47,384.80x = 1,710,903,859.92
  5. Step 5: Solve for x
    x = 1,710,903,859.92/47,384.80
  6. Step 6: Final answer
    x = 36,106.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.