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Finding the Fourth Proportional to 46,963.19, 64,808.50 and 25,742.50

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Solution

The fourth proportional to 46,963.19, 64,808.50 and 25,742.50 is: 35,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.19 : 64,808.50 = 25,742.50 : x
  2. Step 2: Convert to fraction form
    46,963.19/64,808.50 = 25,742.50/x
  3. Step 3: Cross multiply
    46,963.19x = 64,808.50 × 25,742.50
  4. Step 4: Simplify right side
    46,963.19x = 1,668,332,811.25
  5. Step 5: Solve for x
    x = 1,668,332,811.25/46,963.19
  6. Step 6: Final answer
    x = 35,524.27

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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.