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Finding the Fourth Proportional to 86,346, 129,509.28 and 27,170.64

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Solution

The fourth proportional to 86,346, 129,509.28 and 27,170.64 is: 40,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346 : 129,509.28 = 27,170.64 : x
  2. Step 2: Convert to fraction form
    86,346/129,509.28 = 27,170.64/x
  3. Step 3: Cross multiply
    86,346x = 129,509.28 × 27,170.64
  4. Step 4: Simplify right side
    86,346x = 3,518,850,023.54
  5. Step 5: Solve for x
    x = 3,518,850,023.54/86,346
  6. Step 6: Final answer
    x = 40,752.90

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