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Finding the Fourth Proportional to 57,329.01, 85,905.84 and 24,030.93

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Solution

The fourth proportional to 57,329.01, 85,905.84 and 24,030.93 is: 36,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,329.01 : 85,905.84 = 24,030.93 : x
  2. Step 2: Convert to fraction form
    57,329.01/85,905.84 = 24,030.93/x
  3. Step 3: Cross multiply
    57,329.01x = 85,905.84 × 24,030.93
  4. Step 4: Simplify right side
    57,329.01x = 2,064,397,227.63
  5. Step 5: Solve for x
    x = 2,064,397,227.63/57,329.01
  6. Step 6: Final answer
    x = 36,009.64

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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.