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Finding the Fourth Proportional to 39,480, 54,482.40 and 21,816

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Solution

The fourth proportional to 39,480, 54,482.40 and 21,816 is: 30,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,480 : 54,482.40 = 21,816 : x
  2. Step 2: Convert to fraction form
    39,480/54,482.40 = 21,816/x
  3. Step 3: Cross multiply
    39,480x = 54,482.40 × 21,816
  4. Step 4: Simplify right side
    39,480x = 1,188,588,038.40
  5. Step 5: Solve for x
    x = 1,188,588,038.40/39,480
  6. Step 6: Final answer
    x = 30,106.08

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