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Finding the Fourth Proportional to 65,854.79, 98,763.09 and 46,977.83

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Solution

The fourth proportional to 65,854.79, 98,763.09 and 46,977.83 is: 70,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854.79 : 98,763.09 = 46,977.83 : x
  2. Step 2: Convert to fraction form
    65,854.79/98,763.09 = 46,977.83/x
  3. Step 3: Cross multiply
    65,854.79x = 98,763.09 × 46,977.83
  4. Step 4: Simplify right side
    65,854.79x = 4,639,675,158.48
  5. Step 5: Solve for x
    x = 4,639,675,158.48/65,854.79
  6. Step 6: Final answer
    x = 70,453.12

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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.