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Finding the Fourth Proportional to 98,309, 147,464.04 and 24,437

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Solution

The fourth proportional to 98,309, 147,464.04 and 24,437 is: 36,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,309 : 147,464.04 = 24,437 : x
  2. Step 2: Convert to fraction form
    98,309/147,464.04 = 24,437/x
  3. Step 3: Cross multiply
    98,309x = 147,464.04 × 24,437
  4. Step 4: Simplify right side
    98,309x = 3,603,578,745.48
  5. Step 5: Solve for x
    x = 3,603,578,745.48/98,309
  6. Step 6: Final answer
    x = 36,655.63

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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.