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Finding the Fourth Proportional to 97,633, 134,733.63 and 52,921

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Solution

The fourth proportional to 97,633, 134,733.63 and 52,921 is: 73,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,633 : 134,733.63 = 52,921 : x
  2. Step 2: Convert to fraction form
    97,633/134,733.63 = 52,921/x
  3. Step 3: Cross multiply
    97,633x = 134,733.63 × 52,921
  4. Step 4: Simplify right side
    97,633x = 7,130,238,433.23
  5. Step 5: Solve for x
    x = 7,130,238,433.23/97,633
  6. Step 6: Final answer
    x = 73,031.03

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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.