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Finding the Fourth Proportional to 35,642, 49,173.93 and 20,534.27

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Solution

The fourth proportional to 35,642, 49,173.93 and 20,534.27 is: 28,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642 : 49,173.93 = 20,534.27 : x
  2. Step 2: Convert to fraction form
    35,642/49,173.93 = 20,534.27/x
  3. Step 3: Cross multiply
    35,642x = 49,173.93 × 20,534.27
  4. Step 4: Simplify right side
    35,642x = 1,009,750,509.71
  5. Step 5: Solve for x
    x = 1,009,750,509.71/35,642
  6. Step 6: Final answer
    x = 28,330.35

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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.