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Finding the Fourth Proportional to 35,577, 49,106.50 and 23,486.31

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Solution

The fourth proportional to 35,577, 49,106.50 and 23,486.31 is: 32,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577 : 49,106.50 = 23,486.31 : x
  2. Step 2: Convert to fraction form
    35,577/49,106.50 = 23,486.31/x
  3. Step 3: Cross multiply
    35,577x = 49,106.50 × 23,486.31
  4. Step 4: Simplify right side
    35,577x = 1,153,330,423.30
  5. Step 5: Solve for x
    x = 1,153,330,423.30/35,577
  6. Step 6: Final answer
    x = 32,417.87

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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.