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Finding the Fourth Proportional to 42,776, 59,030.88 and 26,009

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Solution

The fourth proportional to 42,776, 59,030.88 and 26,009 is: 35,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776 : 59,030.88 = 26,009 : x
  2. Step 2: Convert to fraction form
    42,776/59,030.88 = 26,009/x
  3. Step 3: Cross multiply
    42,776x = 59,030.88 × 26,009
  4. Step 4: Simplify right side
    42,776x = 1,535,334,157.92
  5. Step 5: Solve for x
    x = 1,535,334,157.92/42,776
  6. Step 6: Final answer
    x = 35,892.42

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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.