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Finding the Fourth Proportional to 52,114.16, 71,917.80 and 29,457.20

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Solution

The fourth proportional to 52,114.16, 71,917.80 and 29,457.20 is: 40,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.16 : 71,917.80 = 29,457.20 : x
  2. Step 2: Convert to fraction form
    52,114.16/71,917.80 = 29,457.20/x
  3. Step 3: Cross multiply
    52,114.16x = 71,917.80 × 29,457.20
  4. Step 4: Simplify right side
    52,114.16x = 2,118,497,018.16
  5. Step 5: Solve for x
    x = 2,118,497,018.16/52,114.16
  6. Step 6: Final answer
    x = 40,651.08

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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.