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Finding the Fourth Proportional to 32,931.96, 49,402 and 10,739.40

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Solution

The fourth proportional to 32,931.96, 49,402 and 10,739.40 is: 16,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.96 : 49,402 = 10,739.40 : x
  2. Step 2: Convert to fraction form
    32,931.96/49,402 = 10,739.40/x
  3. Step 3: Cross multiply
    32,931.96x = 49,402 × 10,739.40
  4. Step 4: Simplify right side
    32,931.96x = 530,547,838.80
  5. Step 5: Solve for x
    x = 530,547,838.80/32,931.96
  6. Step 6: Final answer
    x = 16,110.42

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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.