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Finding the Fourth Proportional to 82,803.59, 114,283.85 and 48,810.08

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Solution

The fourth proportional to 82,803.59, 114,283.85 and 48,810.08 is: 67,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.59 : 114,283.85 = 48,810.08 : x
  2. Step 2: Convert to fraction form
    82,803.59/114,283.85 = 48,810.08/x
  3. Step 3: Cross multiply
    82,803.59x = 114,283.85 × 48,810.08
  4. Step 4: Simplify right side
    82,803.59x = 5,578,203,045.74
  5. Step 5: Solve for x
    x = 5,578,203,045.74/82,803.59
  6. Step 6: Final answer
    x = 67,366.69

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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.