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Finding the Fourth Proportional to 97,052, 133,938 and 58,837.76

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Solution

The fourth proportional to 97,052, 133,938 and 58,837.76 is: 81,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,052 : 133,938 = 58,837.76 : x
  2. Step 2: Convert to fraction form
    97,052/133,938 = 58,837.76/x
  3. Step 3: Cross multiply
    97,052x = 133,938 × 58,837.76
  4. Step 4: Simplify right side
    97,052x = 7,880,611,898.88
  5. Step 5: Solve for x
    x = 7,880,611,898.88/97,052
  6. Step 6: Final answer
    x = 81,199.89

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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.