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Finding the Fourth Proportional to 76,533.66, 105,610.38 and 42,539.48

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Solution

The fourth proportional to 76,533.66, 105,610.38 and 42,539.48 is: 58,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,533.66 : 105,610.38 = 42,539.48 : x
  2. Step 2: Convert to fraction form
    76,533.66/105,610.38 = 42,539.48/x
  3. Step 3: Cross multiply
    76,533.66x = 105,610.38 × 42,539.48
  4. Step 4: Simplify right side
    76,533.66x = 4,492,610,595.55
  5. Step 5: Solve for x
    x = 4,492,610,595.55/76,533.66
  6. Step 6: Final answer
    x = 58,701.11

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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.