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Finding the Fourth Proportional to 89,139.94, 123,014.06 and 48,852.81

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Solution

The fourth proportional to 89,139.94, 123,014.06 and 48,852.81 is: 67,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,139.94 : 123,014.06 = 48,852.81 : x
  2. Step 2: Convert to fraction form
    89,139.94/123,014.06 = 48,852.81/x
  3. Step 3: Cross multiply
    89,139.94x = 123,014.06 × 48,852.81
  4. Step 4: Simplify right side
    89,139.94x = 6,009,582,500.51
  5. Step 5: Solve for x
    x = 6,009,582,500.51/89,139.94
  6. Step 6: Final answer
    x = 67,417.39

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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.