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Finding the Fourth Proportional to 98,539.04, 135,984 and 53,827.04

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Solution

The fourth proportional to 98,539.04, 135,984 and 53,827.04 is: 74,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.04 : 135,984 = 53,827.04 : x
  2. Step 2: Convert to fraction form
    98,539.04/135,984 = 53,827.04/x
  3. Step 3: Cross multiply
    98,539.04x = 135,984 × 53,827.04
  4. Step 4: Simplify right side
    98,539.04x = 7,319,616,207.36
  5. Step 5: Solve for x
    x = 7,319,616,207.36/98,539.04
  6. Step 6: Final answer
    x = 74,281.38

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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.