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Finding the Fourth Proportional to 82,779.30, 114,232.14 and 45,053.55

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Solution

The fourth proportional to 82,779.30, 114,232.14 and 45,053.55 is: 62,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779.30 : 114,232.14 = 45,053.55 : x
  2. Step 2: Convert to fraction form
    82,779.30/114,232.14 = 45,053.55/x
  3. Step 3: Cross multiply
    82,779.30x = 114,232.14 × 45,053.55
  4. Step 4: Simplify right side
    82,779.30x = 5,146,563,431.10
  5. Step 5: Solve for x
    x = 5,146,563,431.10/82,779.30
  6. Step 6: Final answer
    x = 62,172.11

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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.