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Finding the Fourth Proportional to 42,765.62, 64,166.54 and 23,021.10

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Solution

The fourth proportional to 42,765.62, 64,166.54 and 23,021.10 is: 34,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.62 : 64,166.54 = 23,021.10 : x
  2. Step 2: Convert to fraction form
    42,765.62/64,166.54 = 23,021.10/x
  3. Step 3: Cross multiply
    42,765.62x = 64,166.54 × 23,021.10
  4. Step 4: Simplify right side
    42,765.62x = 1,477,184,218.89
  5. Step 5: Solve for x
    x = 1,477,184,218.89/42,765.62
  6. Step 6: Final answer
    x = 34,541.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.