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Finding the Fourth Proportional to 98,030, 147,045 and 24,158

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Solution

The fourth proportional to 98,030, 147,045 and 24,158 is: 36,237

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030 : 147,045 = 24,158 : x
  2. Step 2: Convert to fraction form
    98,030/147,045 = 24,158/x
  3. Step 3: Cross multiply
    98,030x = 147,045 × 24,158
  4. Step 4: Simplify right side
    98,030x = 3,552,313,110
  5. Step 5: Solve for x
    x = 3,552,313,110/98,030
  6. Step 6: Final answer
    x = 36,237

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.