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Finding the Fourth Proportional to 97,628.04, 146,526.30 and 47,745

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Solution

The fourth proportional to 97,628.04, 146,526.30 and 47,745 is: 71,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,628.04 : 146,526.30 = 47,745 : x
  2. Step 2: Convert to fraction form
    97,628.04/146,526.30 = 47,745/x
  3. Step 3: Cross multiply
    97,628.04x = 146,526.30 × 47,745
  4. Step 4: Simplify right side
    97,628.04x = 6,995,898,193.50
  5. Step 5: Solve for x
    x = 6,995,898,193.50/97,628.04
  6. Step 6: Final answer
    x = 71,658.70

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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.