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Finding the Fourth Proportional to 34,830.38, 48,080.64 and 23,515.21

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Solution

The fourth proportional to 34,830.38, 48,080.64 and 23,515.21 is: 32,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,830.38 : 48,080.64 = 23,515.21 : x
  2. Step 2: Convert to fraction form
    34,830.38/48,080.64 = 23,515.21/x
  3. Step 3: Cross multiply
    34,830.38x = 48,080.64 × 23,515.21
  4. Step 4: Simplify right side
    34,830.38x = 1,130,626,106.13
  5. Step 5: Solve for x
    x = 1,130,626,106.13/34,830.38
  6. Step 6: Final answer
    x = 32,460.92

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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.