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Finding the Fourth Proportional to 59,762, 82,494.12 and 46,981.84

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Solution

The fourth proportional to 59,762, 82,494.12 and 46,981.84 is: 64,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,762 : 82,494.12 = 46,981.84 : x
  2. Step 2: Convert to fraction form
    59,762/82,494.12 = 46,981.84/x
  3. Step 3: Cross multiply
    59,762x = 82,494.12 × 46,981.84
  4. Step 4: Simplify right side
    59,762x = 3,875,725,546.78
  5. Step 5: Solve for x
    x = 3,875,725,546.78/59,762
  6. Step 6: Final answer
    x = 64,852.67

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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.