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Finding the Fourth Proportional to 97,953.34, 146,929.98 and 45,334.12

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Solution

The fourth proportional to 97,953.34, 146,929.98 and 45,334.12 is: 68,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.34 : 146,929.98 = 45,334.12 : x
  2. Step 2: Convert to fraction form
    97,953.34/146,929.98 = 45,334.12/x
  3. Step 3: Cross multiply
    97,953.34x = 146,929.98 × 45,334.12
  4. Step 4: Simplify right side
    97,953.34x = 6,660,941,344.92
  5. Step 5: Solve for x
    x = 6,660,941,344.92/97,953.34
  6. Step 6: Final answer
    x = 68,001.17

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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.