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Finding the Fourth Proportional to 32,762, 45,211.59 and 17,858

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Solution

The fourth proportional to 32,762, 45,211.59 and 17,858 is: 24,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762 : 45,211.59 = 17,858 : x
  2. Step 2: Convert to fraction form
    32,762/45,211.59 = 17,858/x
  3. Step 3: Cross multiply
    32,762x = 45,211.59 × 17,858
  4. Step 4: Simplify right side
    32,762x = 807,388,574.22
  5. Step 5: Solve for x
    x = 807,388,574.22/32,762
  6. Step 6: Final answer
    x = 24,644.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.