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Finding the Fourth Proportional to 97,444, 146,166 and 23,572

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Solution

The fourth proportional to 97,444, 146,166 and 23,572 is: 35,358

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,444 : 146,166 = 23,572 : x
  2. Step 2: Convert to fraction form
    97,444/146,166 = 23,572/x
  3. Step 3: Cross multiply
    97,444x = 146,166 × 23,572
  4. Step 4: Simplify right side
    97,444x = 3,445,424,952
  5. Step 5: Solve for x
    x = 3,445,424,952/97,444
  6. Step 6: Final answer
    x = 35,358

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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.