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Finding the Fourth Proportional to 102,688, 154,032 and 37,024

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Solution

The fourth proportional to 102,688, 154,032 and 37,024 is: 55,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,688 : 154,032 = 37,024 : x
  2. Step 2: Convert to fraction form
    102,688/154,032 = 37,024/x
  3. Step 3: Cross multiply
    102,688x = 154,032 × 37,024
  4. Step 4: Simplify right side
    102,688x = 5,702,880,768
  5. Step 5: Solve for x
    x = 5,702,880,768/102,688
  6. Step 6: Final answer
    x = 55,536

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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.