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Finding the Fourth Proportional to 27,030.96, 40,547.46 and 7,309.51

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Solution

The fourth proportional to 27,030.96, 40,547.46 and 7,309.51 is: 10,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030.96 : 40,547.46 = 7,309.51 : x
  2. Step 2: Convert to fraction form
    27,030.96/40,547.46 = 7,309.51/x
  3. Step 3: Cross multiply
    27,030.96x = 40,547.46 × 7,309.51
  4. Step 4: Simplify right side
    27,030.96x = 296,382,064.34
  5. Step 5: Solve for x
    x = 296,382,064.34/27,030.96
  6. Step 6: Final answer
    x = 10,964.54

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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.