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Finding the Fourth Proportional to 83,779.52, 115,569.60 and 53,096.48

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Solution

The fourth proportional to 83,779.52, 115,569.60 and 53,096.48 is: 73,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779.52 : 115,569.60 = 53,096.48 : x
  2. Step 2: Convert to fraction form
    83,779.52/115,569.60 = 53,096.48/x
  3. Step 3: Cross multiply
    83,779.52x = 115,569.60 × 53,096.48
  4. Step 4: Simplify right side
    83,779.52x = 6,136,338,955.01
  5. Step 5: Solve for x
    x = 6,136,338,955.01/83,779.52
  6. Step 6: Final answer
    x = 73,243.90

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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.