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Finding the Fourth Proportional to 83,222.98, 114,841.80 and 47,406.40

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Solution

The fourth proportional to 83,222.98, 114,841.80 and 47,406.40 is: 65,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.98 : 114,841.80 = 47,406.40 : x
  2. Step 2: Convert to fraction form
    83,222.98/114,841.80 = 47,406.40/x
  3. Step 3: Cross multiply
    83,222.98x = 114,841.80 × 47,406.40
  4. Step 4: Simplify right side
    83,222.98x = 5,444,236,307.52
  5. Step 5: Solve for x
    x = 5,444,236,307.52/83,222.98
  6. Step 6: Final answer
    x = 65,417.46

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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.