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Finding the Fourth Proportional to 74,298.50, 102,529.20 and 42,465.50

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Solution

The fourth proportional to 74,298.50, 102,529.20 and 42,465.50 is: 58,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,298.50 : 102,529.20 = 42,465.50 : x
  2. Step 2: Convert to fraction form
    74,298.50/102,529.20 = 42,465.50/x
  3. Step 3: Cross multiply
    74,298.50x = 102,529.20 × 42,465.50
  4. Step 4: Simplify right side
    74,298.50x = 4,353,953,742.60
  5. Step 5: Solve for x
    x = 4,353,953,742.60/74,298.50
  6. Step 6: Final answer
    x = 58,600.83

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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.