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Finding the Fourth Proportional to 96,482.51, 144,737.78 and 29,928

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Solution

The fourth proportional to 96,482.51, 144,737.78 and 29,928 is: 44,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,482.51 : 144,737.78 = 29,928 : x
  2. Step 2: Convert to fraction form
    96,482.51/144,737.78 = 29,928/x
  3. Step 3: Cross multiply
    96,482.51x = 144,737.78 × 29,928
  4. Step 4: Simplify right side
    96,482.51x = 4,331,712,279.84
  5. Step 5: Solve for x
    x = 4,331,712,279.84/96,482.51
  6. Step 6: Final answer
    x = 44,896.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.