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Finding the Fourth Proportional to 76,441.42, 105,485.59 and 42,452.10

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Solution

The fourth proportional to 76,441.42, 105,485.59 and 42,452.10 is: 58,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,441.42 : 105,485.59 = 42,452.10 : x
  2. Step 2: Convert to fraction form
    76,441.42/105,485.59 = 42,452.10/x
  3. Step 3: Cross multiply
    76,441.42x = 105,485.59 × 42,452.10
  4. Step 4: Simplify right side
    76,441.42x = 4,478,084,868.30
  5. Step 5: Solve for x
    x = 4,478,084,868.30/76,441.42
  6. Step 6: Final answer
    x = 58,581.92

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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.