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Finding the Fourth Proportional to 57,106.66, 85,668.18 and 17,666.86

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Solution

The fourth proportional to 57,106.66, 85,668.18 and 17,666.86 is: 26,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106.66 : 85,668.18 = 17,666.86 : x
  2. Step 2: Convert to fraction form
    57,106.66/85,668.18 = 17,666.86/x
  3. Step 3: Cross multiply
    57,106.66x = 85,668.18 × 17,666.86
  4. Step 4: Simplify right side
    57,106.66x = 1,513,487,742.51
  5. Step 5: Solve for x
    x = 1,513,487,742.51/57,106.66
  6. Step 6: Final answer
    x = 26,502.82

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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.