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Finding the Fourth Proportional to 76,030.44, 104,922.34 and 42,041.32

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Solution

The fourth proportional to 76,030.44, 104,922.34 and 42,041.32 is: 58,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,030.44 : 104,922.34 = 42,041.32 : x
  2. Step 2: Convert to fraction form
    76,030.44/104,922.34 = 42,041.32/x
  3. Step 3: Cross multiply
    76,030.44x = 104,922.34 × 42,041.32
  4. Step 4: Simplify right side
    76,030.44x = 4,411,073,671.09
  5. Step 5: Solve for x
    x = 4,411,073,671.09/76,030.44
  6. Step 6: Final answer
    x = 58,017.21

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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.