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Finding the Fourth Proportional to 98,603.94, 147,977.10 and 39,456.12

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Solution

The fourth proportional to 98,603.94, 147,977.10 and 39,456.12 is: 59,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,603.94 : 147,977.10 = 39,456.12 : x
  2. Step 2: Convert to fraction form
    98,603.94/147,977.10 = 39,456.12/x
  3. Step 3: Cross multiply
    98,603.94x = 147,977.10 × 39,456.12
  4. Step 4: Simplify right side
    98,603.94x = 5,838,602,214.85
  5. Step 5: Solve for x
    x = 5,838,602,214.85/98,603.94
  6. Step 6: Final answer
    x = 59,212.67

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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.