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Finding the Fourth Proportional to 65,823.74, 90,742.28 and 46,928.06

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Solution

The fourth proportional to 65,823.74, 90,742.28 and 46,928.06 is: 64,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.74 : 90,742.28 = 46,928.06 : x
  2. Step 2: Convert to fraction form
    65,823.74/90,742.28 = 46,928.06/x
  3. Step 3: Cross multiply
    65,823.74x = 90,742.28 × 46,928.06
  4. Step 4: Simplify right side
    65,823.74x = 4,258,359,160.38
  5. Step 5: Solve for x
    x = 4,258,359,160.38/65,823.74
  6. Step 6: Final answer
    x = 64,693.36

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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.