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Finding the Fourth Proportional to 46,248, 69,383.52 and 13,416

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Solution

The fourth proportional to 46,248, 69,383.52 and 13,416 is: 20,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,248 : 69,383.52 = 13,416 : x
  2. Step 2: Convert to fraction form
    46,248/69,383.52 = 13,416/x
  3. Step 3: Cross multiply
    46,248x = 69,383.52 × 13,416
  4. Step 4: Simplify right side
    46,248x = 930,849,304.32
  5. Step 5: Solve for x
    x = 930,849,304.32/46,248
  6. Step 6: Final answer
    x = 20,127.34

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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.