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Finding the Fourth Proportional to 46,948.19, 70,421.62 and 11,409.77

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Solution

The fourth proportional to 46,948.19, 70,421.62 and 11,409.77 is: 17,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948.19 : 70,421.62 = 11,409.77 : x
  2. Step 2: Convert to fraction form
    46,948.19/70,421.62 = 11,409.77/x
  3. Step 3: Cross multiply
    46,948.19x = 70,421.62 × 11,409.77
  4. Step 4: Simplify right side
    46,948.19x = 803,494,487.23
  5. Step 5: Solve for x
    x = 803,494,487.23/46,948.19
  6. Step 6: Final answer
    x = 17,114.49

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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.