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Finding the Fourth Proportional to 32,926, 45,437.88 and 18,022

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Solution

The fourth proportional to 32,926, 45,437.88 and 18,022 is: 24,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 45,437.88 = 18,022 : x
  2. Step 2: Convert to fraction form
    32,926/45,437.88 = 18,022/x
  3. Step 3: Cross multiply
    32,926x = 45,437.88 × 18,022
  4. Step 4: Simplify right side
    32,926x = 818,881,473.36
  5. Step 5: Solve for x
    x = 818,881,473.36/32,926
  6. Step 6: Final answer
    x = 24,870.36

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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.