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Finding the Fourth Proportional to 70,556.64, 105,692.79 and 46,877.52

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Solution

The fourth proportional to 70,556.64, 105,692.79 and 46,877.52 is: 70,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,556.64 : 105,692.79 = 46,877.52 : x
  2. Step 2: Convert to fraction form
    70,556.64/105,692.79 = 46,877.52/x
  3. Step 3: Cross multiply
    70,556.64x = 105,692.79 × 46,877.52
  4. Step 4: Simplify right side
    70,556.64x = 4,954,615,877.08
  5. Step 5: Solve for x
    x = 4,954,615,877.08/70,556.64
  6. Step 6: Final answer
    x = 70,221.82

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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.