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Finding the Fourth Proportional to 52,497.69, 78,746.84 and 13,054.81

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Solution

The fourth proportional to 52,497.69, 78,746.84 and 13,054.81 is: 19,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.69 : 78,746.84 = 13,054.81 : x
  2. Step 2: Convert to fraction form
    52,497.69/78,746.84 = 13,054.81/x
  3. Step 3: Cross multiply
    52,497.69x = 78,746.84 × 13,054.81
  4. Step 4: Simplify right side
    52,497.69x = 1,028,025,034.30
  5. Step 5: Solve for x
    x = 1,028,025,034.30/52,497.69
  6. Step 6: Final answer
    x = 19,582.29

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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.