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Finding the Fourth Proportional to 97,596, 134,682.64 and 52,884

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Solution

The fourth proportional to 97,596, 134,682.64 and 52,884 is: 72,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,596 : 134,682.64 = 52,884 : x
  2. Step 2: Convert to fraction form
    97,596/134,682.64 = 52,884/x
  3. Step 3: Cross multiply
    97,596x = 134,682.64 × 52,884
  4. Step 4: Simplify right side
    97,596x = 7,122,556,733.76
  5. Step 5: Solve for x
    x = 7,122,556,733.76/97,596
  6. Step 6: Final answer
    x = 72,980.01

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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.