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Finding the Fourth Proportional to 32,048.48, 48,097.52 and 20,952.16

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Solution

The fourth proportional to 32,048.48, 48,097.52 and 20,952.16 is: 31,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.48 : 48,097.52 = 20,952.16 : x
  2. Step 2: Convert to fraction form
    32,048.48/48,097.52 = 20,952.16/x
  3. Step 3: Cross multiply
    32,048.48x = 48,097.52 × 20,952.16
  4. Step 4: Simplify right side
    32,048.48x = 1,007,746,934.64
  5. Step 5: Solve for x
    x = 1,007,746,934.64/32,048.48
  6. Step 6: Final answer
    x = 31,444.45

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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.