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Finding the Fourth Proportional to 59,312, 81,865.14 and 34,176.08

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Solution

The fourth proportional to 59,312, 81,865.14 and 34,176.08 is: 47,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,312 : 81,865.14 = 34,176.08 : x
  2. Step 2: Convert to fraction form
    59,312/81,865.14 = 34,176.08/x
  3. Step 3: Cross multiply
    59,312x = 81,865.14 × 34,176.08
  4. Step 4: Simplify right side
    59,312x = 2,797,829,573.85
  5. Step 5: Solve for x
    x = 2,797,829,573.85/59,312
  6. Step 6: Final answer
    x = 47,171.39

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1.5x scale

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.