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Finding the Fourth Proportional to 101,001.63, 151,507 and 37,805.30

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Solution

The fourth proportional to 101,001.63, 151,507 and 37,805.30 is: 56,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,001.63 : 151,507 = 37,805.30 : x
  2. Step 2: Convert to fraction form
    101,001.63/151,507 = 37,805.30/x
  3. Step 3: Cross multiply
    101,001.63x = 151,507 × 37,805.30
  4. Step 4: Simplify right side
    101,001.63x = 5,727,767,587.10
  5. Step 5: Solve for x
    x = 5,727,767,587.10/101,001.63
  6. Step 6: Final answer
    x = 56,709.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.