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Finding the Fourth Proportional to 35,810, 53,709.24 and 25,390.16

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Solution

The fourth proportional to 35,810, 53,709.24 and 25,390.16 is: 38,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,810 : 53,709.24 = 25,390.16 : x
  2. Step 2: Convert to fraction form
    35,810/53,709.24 = 25,390.16/x
  3. Step 3: Cross multiply
    35,810x = 53,709.24 × 25,390.16
  4. Step 4: Simplify right side
    35,810x = 1,363,686,197.08
  5. Step 5: Solve for x
    x = 1,363,686,197.08/35,810
  6. Step 6: Final answer
    x = 38,081.16

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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.