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Finding the Fourth Proportional to 30,642.50, 45,974.70 and 15,071.06

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Solution

The fourth proportional to 30,642.50, 45,974.70 and 15,071.06 is: 22,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.50 : 45,974.70 = 15,071.06 : x
  2. Step 2: Convert to fraction form
    30,642.50/45,974.70 = 15,071.06/x
  3. Step 3: Cross multiply
    30,642.50x = 45,974.70 × 15,071.06
  4. Step 4: Simplify right side
    30,642.50x = 692,887,462.18
  5. Step 5: Solve for x
    x = 692,887,462.18/30,642.50
  6. Step 6: Final answer
    x = 22,611.98

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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.