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Finding the Fourth Proportional to 93,993.12, 129,710.16 and 58,176

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Solution

The fourth proportional to 93,993.12, 129,710.16 and 58,176 is: 80,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,993.12 : 129,710.16 = 58,176 : x
  2. Step 2: Convert to fraction form
    93,993.12/129,710.16 = 58,176/x
  3. Step 3: Cross multiply
    93,993.12x = 129,710.16 × 58,176
  4. Step 4: Simplify right side
    93,993.12x = 7,546,018,268.16
  5. Step 5: Solve for x
    x = 7,546,018,268.16/93,993.12
  6. Step 6: Final answer
    x = 80,282.67

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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.