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Finding the Fourth Proportional to 85,362.16, 117,802.74 and 47,643.52

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Solution

The fourth proportional to 85,362.16, 117,802.74 and 47,643.52 is: 65,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,362.16 : 117,802.74 = 47,643.52 : x
  2. Step 2: Convert to fraction form
    85,362.16/117,802.74 = 47,643.52/x
  3. Step 3: Cross multiply
    85,362.16x = 117,802.74 × 47,643.52
  4. Step 4: Simplify right side
    85,362.16x = 5,612,537,199.24
  5. Step 5: Solve for x
    x = 5,612,537,199.24/85,362.16
  6. Step 6: Final answer
    x = 65,749.71

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Why These Related Problems?

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