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Finding the Fourth Proportional to 42,970.50, 64,459.40 and 11,805.75

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Solution

The fourth proportional to 42,970.50, 64,459.40 and 11,805.75 is: 17,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.50 : 64,459.40 = 11,805.75 : x
  2. Step 2: Convert to fraction form
    42,970.50/64,459.40 = 11,805.75/x
  3. Step 3: Cross multiply
    42,970.50x = 64,459.40 × 11,805.75
  4. Step 4: Simplify right side
    42,970.50x = 760,991,502.52
  5. Step 5: Solve for x
    x = 760,991,502.52/42,970.50
  6. Step 6: Final answer
    x = 17,709.63

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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.