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Finding the Fourth Proportional to 74,394.34, 102,662.34 and 42,561.16

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Solution

The fourth proportional to 74,394.34, 102,662.34 and 42,561.16 is: 58,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,394.34 : 102,662.34 = 42,561.16 : x
  2. Step 2: Convert to fraction form
    74,394.34/102,662.34 = 42,561.16/x
  3. Step 3: Cross multiply
    74,394.34x = 102,662.34 × 42,561.16
  4. Step 4: Simplify right side
    74,394.34x = 4,369,428,278.71
  5. Step 5: Solve for x
    x = 4,369,428,278.71/74,394.34
  6. Step 6: Final answer
    x = 58,733.34

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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.