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Finding the Fourth Proportional to 98,307, 147,461.04 and 24,435

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Solution

The fourth proportional to 98,307, 147,461.04 and 24,435 is: 36,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,307 : 147,461.04 = 24,435 : x
  2. Step 2: Convert to fraction form
    98,307/147,461.04 = 24,435/x
  3. Step 3: Cross multiply
    98,307x = 147,461.04 × 24,435
  4. Step 4: Simplify right side
    98,307x = 3,603,210,512.40
  5. Step 5: Solve for x
    x = 3,603,210,512.40/98,307
  6. Step 6: Final answer
    x = 36,652.63

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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.