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Finding the Fourth Proportional to 38,597.50, 53,266.17 and 21,830.50

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Solution

The fourth proportional to 38,597.50, 53,266.17 and 21,830.50 is: 30,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.50 : 53,266.17 = 21,830.50 : x
  2. Step 2: Convert to fraction form
    38,597.50/53,266.17 = 21,830.50/x
  3. Step 3: Cross multiply
    38,597.50x = 53,266.17 × 21,830.50
  4. Step 4: Simplify right side
    38,597.50x = 1,162,827,124.19
  5. Step 5: Solve for x
    x = 1,162,827,124.19/38,597.50
  6. Step 6: Final answer
    x = 30,127.01

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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.