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Finding the Fourth Proportional to 42,886, 59,182.68 and 24,023.26

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Solution

The fourth proportional to 42,886, 59,182.68 and 24,023.26 is: 33,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,886 : 59,182.68 = 24,023.26 : x
  2. Step 2: Convert to fraction form
    42,886/59,182.68 = 24,023.26/x
  3. Step 3: Cross multiply
    42,886x = 59,182.68 × 24,023.26
  4. Step 4: Simplify right side
    42,886x = 1,421,760,909.14
  5. Step 5: Solve for x
    x = 1,421,760,909.14/42,886
  6. Step 6: Final answer
    x = 33,152.10

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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.