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Finding the Fourth Proportional to 64,147.04, 96,154.95 and 32,498.45

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Solution

The fourth proportional to 64,147.04, 96,154.95 and 32,498.45 is: 48,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,147.04 : 96,154.95 = 32,498.45 : x
  2. Step 2: Convert to fraction form
    64,147.04/96,154.95 = 32,498.45/x
  3. Step 3: Cross multiply
    64,147.04x = 96,154.95 × 32,498.45
  4. Step 4: Simplify right side
    64,147.04x = 3,124,886,834.83
  5. Step 5: Solve for x
    x = 3,124,886,834.83/64,147.04
  6. Step 6: Final answer
    x = 48,714.44

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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.