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Finding the Fourth Proportional to 85,314.08, 117,668.76 and 51,320

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Solution

The fourth proportional to 85,314.08, 117,668.76 and 51,320 is: 70,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314.08 : 117,668.76 = 51,320 : x
  2. Step 2: Convert to fraction form
    85,314.08/117,668.76 = 51,320/x
  3. Step 3: Cross multiply
    85,314.08x = 117,668.76 × 51,320
  4. Step 4: Simplify right side
    85,314.08x = 6,038,760,763.20
  5. Step 5: Solve for x
    x = 6,038,760,763.20/85,314.08
  6. Step 6: Final answer
    x = 70,782.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.