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Finding the Fourth Proportional to 35,509, 53,235.42 and 17,730.52

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Solution

The fourth proportional to 35,509, 53,235.42 and 17,730.52 is: 26,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509 : 53,235.42 = 17,730.52 : x
  2. Step 2: Convert to fraction form
    35,509/53,235.42 = 17,730.52/x
  3. Step 3: Cross multiply
    35,509x = 53,235.42 × 17,730.52
  4. Step 4: Simplify right side
    35,509x = 943,891,679.02
  5. Step 5: Solve for x
    x = 943,891,679.02/35,509
  6. Step 6: Final answer
    x = 26,581.76

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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.