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Finding the Fourth Proportional to 32,196, 44,420.70 and 20,271.24

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Solution

The fourth proportional to 32,196, 44,420.70 and 20,271.24 is: 27,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 44,420.70 = 20,271.24 : x
  2. Step 2: Convert to fraction form
    32,196/44,420.70 = 20,271.24/x
  3. Step 3: Cross multiply
    32,196x = 44,420.70 × 20,271.24
  4. Step 4: Simplify right side
    32,196x = 900,462,670.67
  5. Step 5: Solve for x
    x = 900,462,670.67/32,196
  6. Step 6: Final answer
    x = 27,968.15

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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.