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Finding the Fourth Proportional to 100,038.60, 138,065.18 and 57,605.40

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Solution

The fourth proportional to 100,038.60, 138,065.18 and 57,605.40 is: 79,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.60 : 138,065.18 = 57,605.40 : x
  2. Step 2: Convert to fraction form
    100,038.60/138,065.18 = 57,605.40/x
  3. Step 3: Cross multiply
    100,038.60x = 138,065.18 × 57,605.40
  4. Step 4: Simplify right side
    100,038.60x = 7,953,299,631.95
  5. Step 5: Solve for x
    x = 7,953,299,631.95/100,038.60
  6. Step 6: Final answer
    x = 79,502.31

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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.