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Finding the Fourth Proportional to 56,186.84, 84,280.22 and 16,742.94

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Solution

The fourth proportional to 56,186.84, 84,280.22 and 16,742.94 is: 25,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,186.84 : 84,280.22 = 16,742.94 : x
  2. Step 2: Convert to fraction form
    56,186.84/84,280.22 = 16,742.94/x
  3. Step 3: Cross multiply
    56,186.84x = 84,280.22 × 16,742.94
  4. Step 4: Simplify right side
    56,186.84x = 1,411,098,666.65
  5. Step 5: Solve for x
    x = 1,411,098,666.65/56,186.84
  6. Step 6: Final answer
    x = 25,114.40

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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.