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Finding the Fourth Proportional to 174,403.50, 261,607.77 and 49,744.50

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Solution

The fourth proportional to 174,403.50, 261,607.77 and 49,744.50 is: 74,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,403.50 : 261,607.77 = 49,744.50 : x
  2. Step 2: Convert to fraction form
    174,403.50/261,607.77 = 49,744.50/x
  3. Step 3: Cross multiply
    174,403.50x = 261,607.77 × 49,744.50
  4. Step 4: Simplify right side
    174,403.50x = 13,013,547,714.77
  5. Step 5: Solve for x
    x = 13,013,547,714.77/174,403.50
  6. Step 6: Final answer
    x = 74,617.47

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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.