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Finding the Fourth Proportional to 65,006.10, 97,509.15 and 53,730.90

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Solution

The fourth proportional to 65,006.10, 97,509.15 and 53,730.90 is: 80,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.10 : 97,509.15 = 53,730.90 : x
  2. Step 2: Convert to fraction form
    65,006.10/97,509.15 = 53,730.90/x
  3. Step 3: Cross multiply
    65,006.10x = 97,509.15 × 53,730.90
  4. Step 4: Simplify right side
    65,006.10x = 5,239,254,387.74
  5. Step 5: Solve for x
    x = 5,239,254,387.74/65,006.10
  6. Step 6: Final answer
    x = 80,596.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.