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Finding the Fourth Proportional to 35,732, 53,597.64 and 14,683.52

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Solution

The fourth proportional to 35,732, 53,597.64 and 14,683.52 is: 22,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732 : 53,597.64 = 14,683.52 : x
  2. Step 2: Convert to fraction form
    35,732/53,597.64 = 14,683.52/x
  3. Step 3: Cross multiply
    35,732x = 53,597.64 × 14,683.52
  4. Step 4: Simplify right side
    35,732x = 787,002,018.89
  5. Step 5: Solve for x
    x = 787,002,018.89/35,732
  6. Step 6: Final answer
    x = 22,025.13

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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.