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Finding the Fourth Proportional to 71,715.04, 98,898.06 and 47,477.62

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Solution

The fourth proportional to 71,715.04, 98,898.06 and 47,477.62 is: 65,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,715.04 : 98,898.06 = 47,477.62 : x
  2. Step 2: Convert to fraction form
    71,715.04/98,898.06 = 47,477.62/x
  3. Step 3: Cross multiply
    71,715.04x = 98,898.06 × 47,477.62
  4. Step 4: Simplify right side
    71,715.04x = 4,695,444,511.42
  5. Step 5: Solve for x
    x = 4,695,444,511.42/71,715.04
  6. Step 6: Final answer
    x = 65,473.64

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Why These Related Problems?

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