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Finding the Fourth Proportional to 92,129, 138,193.50 and 26,465

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Solution

The fourth proportional to 92,129, 138,193.50 and 26,465 is: 39,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,129 : 138,193.50 = 26,465 : x
  2. Step 2: Convert to fraction form
    92,129/138,193.50 = 26,465/x
  3. Step 3: Cross multiply
    92,129x = 138,193.50 × 26,465
  4. Step 4: Simplify right side
    92,129x = 3,657,290,977.50
  5. Step 5: Solve for x
    x = 3,657,290,977.50/92,129
  6. Step 6: Final answer
    x = 39,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.