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Finding the Fourth Proportional to 59,501.36, 82,102.74 and 34,346

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Solution

The fourth proportional to 59,501.36, 82,102.74 and 34,346 is: 47,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,501.36 : 82,102.74 = 34,346 : x
  2. Step 2: Convert to fraction form
    59,501.36/82,102.74 = 34,346/x
  3. Step 3: Cross multiply
    59,501.36x = 82,102.74 × 34,346
  4. Step 4: Simplify right side
    59,501.36x = 2,819,900,708.04
  5. Step 5: Solve for x
    x = 2,819,900,708.04/59,501.36
  6. Step 6: Final answer
    x = 47,392.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.