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Finding the Fourth Proportional to 97,456, 134,492.52 and 59,722.96

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Solution

The fourth proportional to 97,456, 134,492.52 and 59,722.96 is: 82,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,456 : 134,492.52 = 59,722.96 : x
  2. Step 2: Convert to fraction form
    97,456/134,492.52 = 59,722.96/x
  3. Step 3: Cross multiply
    97,456x = 134,492.52 × 59,722.96
  4. Step 4: Simplify right side
    97,456x = 8,032,291,392.26
  5. Step 5: Solve for x
    x = 8,032,291,392.26/97,456
  6. Step 6: Final answer
    x = 82,419.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.