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Finding the Fourth Proportional to 130,485.95, 195,728.92 and 31,989.95

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Solution

The fourth proportional to 130,485.95, 195,728.92 and 31,989.95 is: 47,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,485.95 : 195,728.92 = 31,989.95 : x
  2. Step 2: Convert to fraction form
    130,485.95/195,728.92 = 31,989.95/x
  3. Step 3: Cross multiply
    130,485.95x = 195,728.92 × 31,989.95
  4. Step 4: Simplify right side
    130,485.95x = 6,261,357,385.71
  5. Step 5: Solve for x
    x = 6,261,357,385.71/130,485.95
  6. Step 6: Final answer
    x = 47,984.92

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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.