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Finding the Fourth Proportional to 35,347.42, 53,028.42 and 11,973.25

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Solution

The fourth proportional to 35,347.42, 53,028.42 and 11,973.25 is: 17,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.42 : 53,028.42 = 11,973.25 : x
  2. Step 2: Convert to fraction form
    35,347.42/53,028.42 = 11,973.25/x
  3. Step 3: Cross multiply
    35,347.42x = 53,028.42 × 11,973.25
  4. Step 4: Simplify right side
    35,347.42x = 634,922,529.77
  5. Step 5: Solve for x
    x = 634,922,529.77/35,347.42
  6. Step 6: Final answer
    x = 17,962.34

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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.