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Finding the Fourth Proportional to 82,001, 122,967.58 and 28,681.80

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Solution

The fourth proportional to 82,001, 122,967.58 and 28,681.80 is: 43,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001 : 122,967.58 = 28,681.80 : x
  2. Step 2: Convert to fraction form
    82,001/122,967.58 = 28,681.80/x
  3. Step 3: Cross multiply
    82,001x = 122,967.58 × 28,681.80
  4. Step 4: Simplify right side
    82,001x = 3,526,931,536.04
  5. Step 5: Solve for x
    x = 3,526,931,536.04/82,001
  6. Step 6: Final answer
    x = 43,010.84

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1.5x scale

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.