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Finding the Fourth Proportional to 58,224, 80,349.12 and 33,075.12

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Solution

The fourth proportional to 58,224, 80,349.12 and 33,075.12 is: 45,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,224 : 80,349.12 = 33,075.12 : x
  2. Step 2: Convert to fraction form
    58,224/80,349.12 = 33,075.12/x
  3. Step 3: Cross multiply
    58,224x = 80,349.12 × 33,075.12
  4. Step 4: Simplify right side
    58,224x = 2,657,556,785.89
  5. Step 5: Solve for x
    x = 2,657,556,785.89/58,224
  6. Step 6: Final answer
    x = 45,643.67

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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.