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Finding the Fourth Proportional to 37,495.32, 56,258.52 and 16,424.46

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Solution

The fourth proportional to 37,495.32, 56,258.52 and 16,424.46 is: 24,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,495.32 : 56,258.52 = 16,424.46 : x
  2. Step 2: Convert to fraction form
    37,495.32/56,258.52 = 16,424.46/x
  3. Step 3: Cross multiply
    37,495.32x = 56,258.52 × 16,424.46
  4. Step 4: Simplify right side
    37,495.32x = 924,015,811.40
  5. Step 5: Solve for x
    x = 924,015,811.40/37,495.32
  6. Step 6: Final answer
    x = 24,643.50

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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.