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Finding the Fourth Proportional to 42,833.60, 64,242.65 and 11,661.56

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Solution

The fourth proportional to 42,833.60, 64,242.65 and 11,661.56 is: 17,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,833.60 : 64,242.65 = 11,661.56 : x
  2. Step 2: Convert to fraction form
    42,833.60/64,242.65 = 11,661.56/x
  3. Step 3: Cross multiply
    42,833.60x = 64,242.65 × 11,661.56
  4. Step 4: Simplify right side
    42,833.60x = 749,169,225.47
  5. Step 5: Solve for x
    x = 749,169,225.47/42,833.60
  6. Step 6: Final answer
    x = 17,490.23

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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.