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Finding the Fourth Proportional to 110,045.83, 165,068.76 and 57,443.01

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Solution

The fourth proportional to 110,045.83, 165,068.76 and 57,443.01 is: 86,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,045.83 : 165,068.76 = 57,443.01 : x
  2. Step 2: Convert to fraction form
    110,045.83/165,068.76 = 57,443.01/x
  3. Step 3: Cross multiply
    110,045.83x = 165,068.76 × 57,443.01
  4. Step 4: Simplify right side
    110,045.83x = 9,482,046,431.37
  5. Step 5: Solve for x
    x = 9,482,046,431.37/110,045.83
  6. Step 6: Final answer
    x = 86,164.52

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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.