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Finding the Fourth Proportional to 102,401.44, 153,597.33 and 35,856.50

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Solution

The fourth proportional to 102,401.44, 153,597.33 and 35,856.50 is: 53,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,401.44 : 153,597.33 = 35,856.50 : x
  2. Step 2: Convert to fraction form
    102,401.44/153,597.33 = 35,856.50/x
  3. Step 3: Cross multiply
    102,401.44x = 153,597.33 × 35,856.50
  4. Step 4: Simplify right side
    102,401.44x = 5,507,461,895.16
  5. Step 5: Solve for x
    x = 5,507,461,895.16/102,401.44
  6. Step 6: Final answer
    x = 53,783.05

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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.