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Finding the Fourth Proportional to 42,094.76, 63,125.64 and 15,785.16

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Solution

The fourth proportional to 42,094.76, 63,125.64 and 15,785.16 is: 23,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,094.76 : 63,125.64 = 15,785.16 : x
  2. Step 2: Convert to fraction form
    42,094.76/63,125.64 = 15,785.16/x
  3. Step 3: Cross multiply
    42,094.76x = 63,125.64 × 15,785.16
  4. Step 4: Simplify right side
    42,094.76x = 996,448,327.50
  5. Step 5: Solve for x
    x = 996,448,327.50/42,094.76
  6. Step 6: Final answer
    x = 23,671.55

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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.