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Finding the Fourth Proportional to 37,436.16, 56,154.24 and 9,732

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Solution

The fourth proportional to 37,436.16, 56,154.24 and 9,732 is: 14,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,436.16 : 56,154.24 = 9,732 : x
  2. Step 2: Convert to fraction form
    37,436.16/56,154.24 = 9,732/x
  3. Step 3: Cross multiply
    37,436.16x = 56,154.24 × 9,732
  4. Step 4: Simplify right side
    37,436.16x = 546,493,063.68
  5. Step 5: Solve for x
    x = 546,493,063.68/37,436.16
  6. Step 6: Final answer
    x = 14,598.00

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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.