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Finding the Fourth Proportional to 42,741.48, 64,105.74 and 15,033

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Solution

The fourth proportional to 42,741.48, 64,105.74 and 15,033 is: 22,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741.48 : 64,105.74 = 15,033 : x
  2. Step 2: Convert to fraction form
    42,741.48/64,105.74 = 15,033/x
  3. Step 3: Cross multiply
    42,741.48x = 64,105.74 × 15,033
  4. Step 4: Simplify right side
    42,741.48x = 963,701,589.42
  5. Step 5: Solve for x
    x = 963,701,589.42/42,741.48
  6. Step 6: Final answer
    x = 22,547.22

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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.