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Finding the Fourth Proportional to 29,533.56, 40,762.64 and 16,965.24

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Solution

The fourth proportional to 29,533.56, 40,762.64 and 16,965.24 is: 23,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.56 : 40,762.64 = 16,965.24 : x
  2. Step 2: Convert to fraction form
    29,533.56/40,762.64 = 16,965.24/x
  3. Step 3: Cross multiply
    29,533.56x = 40,762.64 × 16,965.24
  4. Step 4: Simplify right side
    29,533.56x = 691,547,970.63
  5. Step 5: Solve for x
    x = 691,547,970.63/29,533.56
  6. Step 6: Final answer
    x = 23,415.67

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1.5x scale

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.