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Finding the Fourth Proportional to 52,645.95, 72,651.42 and 29,987.06

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Solution

The fourth proportional to 52,645.95, 72,651.42 and 29,987.06 is: 41,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,645.95 : 72,651.42 = 29,987.06 : x
  2. Step 2: Convert to fraction form
    52,645.95/72,651.42 = 29,987.06/x
  3. Step 3: Cross multiply
    52,645.95x = 72,651.42 × 29,987.06
  4. Step 4: Simplify right side
    52,645.95x = 2,178,602,127.37
  5. Step 5: Solve for x
    x = 2,178,602,127.37/52,645.95
  6. Step 6: Final answer
    x = 41,382.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.