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Finding the Fourth Proportional to 32,055.31, 48,084.45 and 9,869.68

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Solution

The fourth proportional to 32,055.31, 48,084.45 and 9,869.68 is: 14,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,055.31 : 48,084.45 = 9,869.68 : x
  2. Step 2: Convert to fraction form
    32,055.31/48,084.45 = 9,869.68/x
  3. Step 3: Cross multiply
    32,055.31x = 48,084.45 × 9,869.68
  4. Step 4: Simplify right side
    32,055.31x = 474,578,134.48
  5. Step 5: Solve for x
    x = 474,578,134.48/32,055.31
  6. Step 6: Final answer
    x = 14,804.98

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1.5x scale

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.