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Finding the Fourth Proportional to 101,712.64, 152,548.08 and 38,511.01

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Solution

The fourth proportional to 101,712.64, 152,548.08 and 38,511.01 is: 57,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.64 : 152,548.08 = 38,511.01 : x
  2. Step 2: Convert to fraction form
    101,712.64/152,548.08 = 38,511.01/x
  3. Step 3: Cross multiply
    101,712.64x = 152,548.08 × 38,511.01
  4. Step 4: Simplify right side
    101,712.64x = 5,874,779,679.07
  5. Step 5: Solve for x
    x = 5,874,779,679.07/101,712.64
  6. Step 6: Final answer
    x = 57,758.60

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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.