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Finding the Fourth Proportional to 32,854.48, 49,281.01 and 10,667.81

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Solution

The fourth proportional to 32,854.48, 49,281.01 and 10,667.81 is: 16,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.48 : 49,281.01 = 10,667.81 : x
  2. Step 2: Convert to fraction form
    32,854.48/49,281.01 = 10,667.81/x
  3. Step 3: Cross multiply
    32,854.48x = 49,281.01 × 10,667.81
  4. Step 4: Simplify right side
    32,854.48x = 525,720,547.82
  5. Step 5: Solve for x
    x = 525,720,547.82/32,854.48
  6. Step 6: Final answer
    x = 16,001.49

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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.