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Finding the Fourth Proportional to 77,699.74, 107,133.93 and 53,182.39

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Solution

The fourth proportional to 77,699.74, 107,133.93 and 53,182.39 is: 73,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,699.74 : 107,133.93 = 53,182.39 : x
  2. Step 2: Convert to fraction form
    77,699.74/107,133.93 = 53,182.39/x
  3. Step 3: Cross multiply
    77,699.74x = 107,133.93 × 53,182.39
  4. Step 4: Simplify right side
    77,699.74x = 5,697,638,447.49
  5. Step 5: Solve for x
    x = 5,697,638,447.49/77,699.74
  6. Step 6: Final answer
    x = 73,328.93

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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.