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Finding the Fourth Proportional to 101,562.70, 152,358.23 and 42,384.81

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Solution

The fourth proportional to 101,562.70, 152,358.23 and 42,384.81 is: 63,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,562.70 : 152,358.23 = 42,384.81 : x
  2. Step 2: Convert to fraction form
    101,562.70/152,358.23 = 42,384.81/x
  3. Step 3: Cross multiply
    101,562.70x = 152,358.23 × 42,384.81
  4. Step 4: Simplify right side
    101,562.70x = 6,457,674,630.49
  5. Step 5: Solve for x
    x = 6,457,674,630.49/101,562.70
  6. Step 6: Final answer
    x = 63,583.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.