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Finding the Fourth Proportional to 102,424.10, 153,636.14 and 32,308.88

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Solution

The fourth proportional to 102,424.10, 153,636.14 and 32,308.88 is: 48,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.10 : 153,636.14 = 32,308.88 : x
  2. Step 2: Convert to fraction form
    102,424.10/153,636.14 = 32,308.88/x
  3. Step 3: Cross multiply
    102,424.10x = 153,636.14 × 32,308.88
  4. Step 4: Simplify right side
    102,424.10x = 4,963,810,923.51
  5. Step 5: Solve for x
    x = 4,963,810,923.51/102,424.10
  6. Step 6: Final answer
    x = 48,463.31

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