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Finding the Fourth Proportional to 174,429, 261,646.02 and 49,770

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Solution

The fourth proportional to 174,429, 261,646.02 and 49,770 is: 74,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,429 : 261,646.02 = 49,770 : x
  2. Step 2: Convert to fraction form
    174,429/261,646.02 = 49,770/x
  3. Step 3: Cross multiply
    174,429x = 261,646.02 × 49,770
  4. Step 4: Simplify right side
    174,429x = 13,022,122,415.40
  5. Step 5: Solve for x
    x = 13,022,122,415.40/174,429
  6. Step 6: Final answer
    x = 74,655.72

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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.