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Finding the Fourth Proportional to 37,678.16, 52,003.04 and 24,931.60

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Solution

The fourth proportional to 37,678.16, 52,003.04 and 24,931.60 is: 34,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.16 : 52,003.04 = 24,931.60 : x
  2. Step 2: Convert to fraction form
    37,678.16/52,003.04 = 24,931.60/x
  3. Step 3: Cross multiply
    37,678.16x = 52,003.04 × 24,931.60
  4. Step 4: Simplify right side
    37,678.16x = 1,296,518,607.39
  5. Step 5: Solve for x
    x = 1,296,518,607.39/37,678.16
  6. Step 6: Final answer
    x = 34,410.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.