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Finding the Fourth Proportional to 55,582.34, 83,373.33 and 42,950.42

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Solution

The fourth proportional to 55,582.34, 83,373.33 and 42,950.42 is: 64,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,582.34 : 83,373.33 = 42,950.42 : x
  2. Step 2: Convert to fraction form
    55,582.34/83,373.33 = 42,950.42/x
  3. Step 3: Cross multiply
    55,582.34x = 83,373.33 × 42,950.42
  4. Step 4: Simplify right side
    55,582.34x = 3,580,919,597.15
  5. Step 5: Solve for x
    x = 3,580,919,597.15/55,582.34
  6. Step 6: Final answer
    x = 64,425.50

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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.