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Finding the Fourth Proportional to 32,507.14, 48,476.54 and 28,923.16

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Solution

The fourth proportional to 32,507.14, 48,476.54 and 28,923.16 is: 43,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.14 : 48,476.54 = 28,923.16 : x
  2. Step 2: Convert to fraction form
    32,507.14/48,476.54 = 28,923.16/x
  3. Step 3: Cross multiply
    32,507.14x = 48,476.54 × 28,923.16
  4. Step 4: Simplify right side
    32,507.14x = 1,402,094,722.67
  5. Step 5: Solve for x
    x = 1,402,094,722.67/32,507.14
  6. Step 6: Final answer
    x = 43,131.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.