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Finding the Fourth Proportional to 47,005.84, 70,501.19 and 13,718.10

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Solution

The fourth proportional to 47,005.84, 70,501.19 and 13,718.10 is: 20,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.84 : 70,501.19 = 13,718.10 : x
  2. Step 2: Convert to fraction form
    47,005.84/70,501.19 = 13,718.10/x
  3. Step 3: Cross multiply
    47,005.84x = 70,501.19 × 13,718.10
  4. Step 4: Simplify right side
    47,005.84x = 967,142,408.83
  5. Step 5: Solve for x
    x = 967,142,408.83/47,005.84
  6. Step 6: Final answer
    x = 20,574.94

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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.