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Finding the Fourth Proportional to 64,735.24, 96,978.48 and 39,702.32

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Solution

The fourth proportional to 64,735.24, 96,978.48 and 39,702.32 is: 59,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735.24 : 96,978.48 = 39,702.32 : x
  2. Step 2: Convert to fraction form
    64,735.24/96,978.48 = 39,702.32/x
  3. Step 3: Cross multiply
    64,735.24x = 96,978.48 × 39,702.32
  4. Step 4: Simplify right side
    64,735.24x = 3,850,270,646.07
  5. Step 5: Solve for x
    x = 3,850,270,646.07/64,735.24
  6. Step 6: Final answer
    x = 59,477.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.