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Finding the Fourth Proportional to 64,004.12, 88,325.94 and 35,711

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Solution

The fourth proportional to 64,004.12, 88,325.94 and 35,711 is: 49,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004.12 : 88,325.94 = 35,711 : x
  2. Step 2: Convert to fraction form
    64,004.12/88,325.94 = 35,711/x
  3. Step 3: Cross multiply
    64,004.12x = 88,325.94 × 35,711
  4. Step 4: Simplify right side
    64,004.12x = 3,154,207,643.34
  5. Step 5: Solve for x
    x = 3,154,207,643.34/64,004.12
  6. Step 6: Final answer
    x = 49,281.32

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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.