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Finding the Fourth Proportional to 101,482.51, 152,224.41 and 26,602

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Solution

The fourth proportional to 101,482.51, 152,224.41 and 26,602 is: 39,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,482.51 : 152,224.41 = 26,602 : x
  2. Step 2: Convert to fraction form
    101,482.51/152,224.41 = 26,602/x
  3. Step 3: Cross multiply
    101,482.51x = 152,224.41 × 26,602
  4. Step 4: Simplify right side
    101,482.51x = 4,049,473,754.82
  5. Step 5: Solve for x
    x = 4,049,473,754.82/101,482.51
  6. Step 6: Final answer
    x = 39,903.17

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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.