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Finding the Fourth Proportional to 81,544.16, 112,483.15 and 51,281.48

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Solution

The fourth proportional to 81,544.16, 112,483.15 and 51,281.48 is: 70,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,544.16 : 112,483.15 = 51,281.48 : x
  2. Step 2: Convert to fraction form
    81,544.16/112,483.15 = 51,281.48/x
  3. Step 3: Cross multiply
    81,544.16x = 112,483.15 × 51,281.48
  4. Step 4: Simplify right side
    81,544.16x = 5,768,302,407.06
  5. Step 5: Solve for x
    x = 5,768,302,407.06/81,544.16
  6. Step 6: Final answer
    x = 70,738.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.