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Finding the Fourth Proportional to 27,465, 41,205.70 and 19,475.16

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Solution

The fourth proportional to 27,465, 41,205.70 and 19,475.16 is: 29,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465 : 41,205.70 = 19,475.16 : x
  2. Step 2: Convert to fraction form
    27,465/41,205.70 = 19,475.16/x
  3. Step 3: Cross multiply
    27,465x = 41,205.70 × 19,475.16
  4. Step 4: Simplify right side
    27,465x = 802,487,600.41
  5. Step 5: Solve for x
    x = 802,487,600.41/27,465
  6. Step 6: Final answer
    x = 29,218.55

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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.