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Finding the Fourth Proportional to 34,695.40, 51,970.20 and 34,695.40

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Solution

The fourth proportional to 34,695.40, 51,970.20 and 34,695.40 is: 51,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.40 : 51,970.20 = 34,695.40 : x
  2. Step 2: Convert to fraction form
    34,695.40/51,970.20 = 34,695.40/x
  3. Step 3: Cross multiply
    34,695.40x = 51,970.20 × 34,695.40
  4. Step 4: Simplify right side
    34,695.40x = 1,803,126,877.08
  5. Step 5: Solve for x
    x = 1,803,126,877.08/34,695.40
  6. Step 6: Final answer
    x = 51,970.20

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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.