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Finding the Fourth Proportional to 74,476.52, 102,777.50 and 42,643.88

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Solution

The fourth proportional to 74,476.52, 102,777.50 and 42,643.88 is: 58,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,476.52 : 102,777.50 = 42,643.88 : x
  2. Step 2: Convert to fraction form
    74,476.52/102,777.50 = 42,643.88/x
  3. Step 3: Cross multiply
    74,476.52x = 102,777.50 × 42,643.88
  4. Step 4: Simplify right side
    74,476.52x = 4,382,831,376.70
  5. Step 5: Solve for x
    x = 4,382,831,376.70/74,476.52
  6. Step 6: Final answer
    x = 58,848.50

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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.