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Finding the Fourth Proportional to 106,547.94, 147,027.60 and 58,794.84

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Solution

The fourth proportional to 106,547.94, 147,027.60 and 58,794.84 is: 81,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.94 : 147,027.60 = 58,794.84 : x
  2. Step 2: Convert to fraction form
    106,547.94/147,027.60 = 58,794.84/x
  3. Step 3: Cross multiply
    106,547.94x = 147,027.60 × 58,794.84
  4. Step 4: Simplify right side
    106,547.94x = 8,644,464,217.58
  5. Step 5: Solve for x
    x = 8,644,464,217.58/106,547.94
  6. Step 6: Final answer
    x = 81,132.16

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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.