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Finding the Fourth Proportional to 42,283, 58,351.84 and 23,421.88

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Solution

The fourth proportional to 42,283, 58,351.84 and 23,421.88 is: 32,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,283 : 58,351.84 = 23,421.88 : x
  2. Step 2: Convert to fraction form
    42,283/58,351.84 = 23,421.88/x
  3. Step 3: Cross multiply
    42,283x = 58,351.84 × 23,421.88
  4. Step 4: Simplify right side
    42,283x = 1,366,709,794.26
  5. Step 5: Solve for x
    x = 1,366,709,794.26/42,283
  6. Step 6: Final answer
    x = 32,322.91

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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.