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Finding the Fourth Proportional to 35,518.90, 53,302.65 and 19,723.90

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Solution

The fourth proportional to 35,518.90, 53,302.65 and 19,723.90 is: 29,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,518.90 : 53,302.65 = 19,723.90 : x
  2. Step 2: Convert to fraction form
    35,518.90/53,302.65 = 19,723.90/x
  3. Step 3: Cross multiply
    35,518.90x = 53,302.65 × 19,723.90
  4. Step 4: Simplify right side
    35,518.90x = 1,051,336,138.34
  5. Step 5: Solve for x
    x = 1,051,336,138.34/35,518.90
  6. Step 6: Final answer
    x = 29,599.34

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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.