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Finding the Fourth Proportional to 47,299, 65,271.90 and 26,077.72

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Solution

The fourth proportional to 47,299, 65,271.90 and 26,077.72 is: 35,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,299 : 65,271.90 = 26,077.72 : x
  2. Step 2: Convert to fraction form
    47,299/65,271.90 = 26,077.72/x
  3. Step 3: Cross multiply
    47,299x = 65,271.90 × 26,077.72
  4. Step 4: Simplify right side
    47,299x = 1,702,142,332.07
  5. Step 5: Solve for x
    x = 1,702,142,332.07/47,299
  6. Step 6: Final answer
    x = 35,986.86

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1.5x scale

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.