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Finding the Fourth Proportional to 65,752.68, 98,438.94 and 38,653.32

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Solution

The fourth proportional to 65,752.68, 98,438.94 and 38,653.32 is: 57,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752.68 : 98,438.94 = 38,653.32 : x
  2. Step 2: Convert to fraction form
    65,752.68/98,438.94 = 38,653.32/x
  3. Step 3: Cross multiply
    65,752.68x = 98,438.94 × 38,653.32
  4. Step 4: Simplify right side
    65,752.68x = 3,804,991,848.28
  5. Step 5: Solve for x
    x = 3,804,991,848.28/65,752.68
  6. Step 6: Final answer
    x = 57,868.24

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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.