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Finding the Fourth Proportional to 46,298.70, 69,451.68 and 13,021.50

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Solution

The fourth proportional to 46,298.70, 69,451.68 and 13,021.50 is: 19,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,298.70 : 69,451.68 = 13,021.50 : x
  2. Step 2: Convert to fraction form
    46,298.70/69,451.68 = 13,021.50/x
  3. Step 3: Cross multiply
    46,298.70x = 69,451.68 × 13,021.50
  4. Step 4: Simplify right side
    46,298.70x = 904,365,051.12
  5. Step 5: Solve for x
    x = 904,365,051.12/46,298.70
  6. Step 6: Final answer
    x = 19,533.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.