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Finding the Fourth Proportional to 97,658, 134,768.08 and 52,946

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Solution

The fourth proportional to 97,658, 134,768.08 and 52,946 is: 73,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658 : 134,768.08 = 52,946 : x
  2. Step 2: Convert to fraction form
    97,658/134,768.08 = 52,946/x
  3. Step 3: Cross multiply
    97,658x = 134,768.08 × 52,946
  4. Step 4: Simplify right side
    97,658x = 7,135,430,763.68
  5. Step 5: Solve for x
    x = 7,135,430,763.68/97,658
  6. Step 6: Final answer
    x = 73,065.50

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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.