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Finding the Fourth Proportional to 56,931.36, 85,401.36 and 15,378

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Solution

The fourth proportional to 56,931.36, 85,401.36 and 15,378 is: 23,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,931.36 : 85,401.36 = 15,378 : x
  2. Step 2: Convert to fraction form
    56,931.36/85,401.36 = 15,378/x
  3. Step 3: Cross multiply
    56,931.36x = 85,401.36 × 15,378
  4. Step 4: Simplify right side
    56,931.36x = 1,313,302,114.08
  5. Step 5: Solve for x
    x = 1,313,302,114.08/56,931.36
  6. Step 6: Final answer
    x = 23,068.17

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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.