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Finding the Fourth Proportional to 77,031.40, 115,547.10 and 27,111.10

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Solution

The fourth proportional to 77,031.40, 115,547.10 and 27,111.10 is: 40,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.40 : 115,547.10 = 27,111.10 : x
  2. Step 2: Convert to fraction form
    77,031.40/115,547.10 = 27,111.10/x
  3. Step 3: Cross multiply
    77,031.40x = 115,547.10 × 27,111.10
  4. Step 4: Simplify right side
    77,031.40x = 3,132,608,982.81
  5. Step 5: Solve for x
    x = 3,132,608,982.81/77,031.40
  6. Step 6: Final answer
    x = 40,666.65

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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.