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Finding the Fourth Proportional to 55,706.81, 83,613.28 and 34,582.93

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Solution

The fourth proportional to 55,706.81, 83,613.28 and 34,582.93 is: 51,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.81 : 83,613.28 = 34,582.93 : x
  2. Step 2: Convert to fraction form
    55,706.81/83,613.28 = 34,582.93/x
  3. Step 3: Cross multiply
    55,706.81x = 83,613.28 × 34,582.93
  4. Step 4: Simplify right side
    55,706.81x = 2,891,592,209.31
  5. Step 5: Solve for x
    x = 2,891,592,209.31/55,706.81
  6. Step 6: Final answer
    x = 51,907.34

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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.