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Finding the Fourth Proportional to 30,345.60, 45,532.16 and 13,696.64

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Solution

The fourth proportional to 30,345.60, 45,532.16 and 13,696.64 is: 20,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345.60 : 45,532.16 = 13,696.64 : x
  2. Step 2: Convert to fraction form
    30,345.60/45,532.16 = 13,696.64/x
  3. Step 3: Cross multiply
    30,345.60x = 45,532.16 × 13,696.64
  4. Step 4: Simplify right side
    30,345.60x = 623,637,603.94
  5. Step 5: Solve for x
    x = 623,637,603.94/30,345.60
  6. Step 6: Final answer
    x = 20,551.17

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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.