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Finding the Fourth Proportional to 42,762, 59,011.56 and 23,899.14

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Solution

The fourth proportional to 42,762, 59,011.56 and 23,899.14 is: 32,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762 : 59,011.56 = 23,899.14 : x
  2. Step 2: Convert to fraction form
    42,762/59,011.56 = 23,899.14/x
  3. Step 3: Cross multiply
    42,762x = 59,011.56 × 23,899.14
  4. Step 4: Simplify right side
    42,762x = 1,410,325,534.06
  5. Step 5: Solve for x
    x = 1,410,325,534.06/42,762
  6. Step 6: Final answer
    x = 32,980.81

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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.