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Finding the Fourth Proportional to 52,032.50, 78,046.01 and 14,595.16

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Solution

The fourth proportional to 52,032.50, 78,046.01 and 14,595.16 is: 21,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.50 : 78,046.01 = 14,595.16 : x
  2. Step 2: Convert to fraction form
    52,032.50/78,046.01 = 14,595.16/x
  3. Step 3: Cross multiply
    52,032.50x = 78,046.01 × 14,595.16
  4. Step 4: Simplify right side
    52,032.50x = 1,139,094,003.31
  5. Step 5: Solve for x
    x = 1,139,094,003.31/52,032.50
  6. Step 6: Final answer
    x = 21,891.97

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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.