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Finding the Fourth Proportional to 101,636.81, 152,427.68 and 42,460.10

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Solution

The fourth proportional to 101,636.81, 152,427.68 and 42,460.10 is: 63,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,636.81 : 152,427.68 = 42,460.10 : x
  2. Step 2: Convert to fraction form
    101,636.81/152,427.68 = 42,460.10/x
  3. Step 3: Cross multiply
    101,636.81x = 152,427.68 × 42,460.10
  4. Step 4: Simplify right side
    101,636.81x = 6,472,094,323.27
  5. Step 5: Solve for x
    x = 6,472,094,323.27/101,636.81
  6. Step 6: Final answer
    x = 63,678.64

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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.