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Finding the Fourth Proportional to 47,307.65, 70,952.56 and 17,719.16

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Solution

The fourth proportional to 47,307.65, 70,952.56 and 17,719.16 is: 26,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307.65 : 70,952.56 = 17,719.16 : x
  2. Step 2: Convert to fraction form
    47,307.65/70,952.56 = 17,719.16/x
  3. Step 3: Cross multiply
    47,307.65x = 70,952.56 × 17,719.16
  4. Step 4: Simplify right side
    47,307.65x = 1,257,219,363.99
  5. Step 5: Solve for x
    x = 1,257,219,363.99/47,307.65
  6. Step 6: Final answer
    x = 26,575.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.