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Finding the Fourth Proportional to 32,007.52, 48,011.76 and 14,477.92

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Solution

The fourth proportional to 32,007.52, 48,011.76 and 14,477.92 is: 21,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.52 : 48,011.76 = 14,477.92 : x
  2. Step 2: Convert to fraction form
    32,007.52/48,011.76 = 14,477.92/x
  3. Step 3: Cross multiply
    32,007.52x = 48,011.76 × 14,477.92
  4. Step 4: Simplify right side
    32,007.52x = 695,110,420.34
  5. Step 5: Solve for x
    x = 695,110,420.34/32,007.52
  6. Step 6: Final answer
    x = 21,717.10

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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.