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Finding the Fourth Proportional to 32,955.52, 49,443.36 and 9,582.16

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Solution

The fourth proportional to 32,955.52, 49,443.36 and 9,582.16 is: 14,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.52 : 49,443.36 = 9,582.16 : x
  2. Step 2: Convert to fraction form
    32,955.52/49,443.36 = 9,582.16/x
  3. Step 3: Cross multiply
    32,955.52x = 49,443.36 × 9,582.16
  4. Step 4: Simplify right side
    32,955.52x = 473,774,186.46
  5. Step 5: Solve for x
    x = 473,774,186.46/32,955.52
  6. Step 6: Final answer
    x = 14,376.17

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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.