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Finding the Fourth Proportional to 76,475.70, 105,539.70 and 42,484.02

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Solution

The fourth proportional to 76,475.70, 105,539.70 and 42,484.02 is: 58,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.70 : 105,539.70 = 42,484.02 : x
  2. Step 2: Convert to fraction form
    76,475.70/105,539.70 = 42,484.02/x
  3. Step 3: Cross multiply
    76,475.70x = 105,539.70 × 42,484.02
  4. Step 4: Simplify right side
    76,475.70x = 4,483,750,725.59
  5. Step 5: Solve for x
    x = 4,483,750,725.59/76,475.70
  6. Step 6: Final answer
    x = 58,629.74

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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.