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Finding the Fourth Proportional to 76,368.43, 105,408.45 and 42,845.23

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Solution

The fourth proportional to 76,368.43, 105,408.45 and 42,845.23 is: 59,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,368.43 : 105,408.45 = 42,845.23 : x
  2. Step 2: Convert to fraction form
    76,368.43/105,408.45 = 42,845.23/x
  3. Step 3: Cross multiply
    76,368.43x = 105,408.45 × 42,845.23
  4. Step 4: Simplify right side
    76,368.43x = 4,516,249,284.19
  5. Step 5: Solve for x
    x = 4,516,249,284.19/76,368.43
  6. Step 6: Final answer
    x = 59,137.65

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1.5x scale

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.