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Finding the Fourth Proportional to 32,875.36, 49,313.40 and 9,502

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Solution

The fourth proportional to 32,875.36, 49,313.40 and 9,502 is: 14,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.36 : 49,313.40 = 9,502 : x
  2. Step 2: Convert to fraction form
    32,875.36/49,313.40 = 9,502/x
  3. Step 3: Cross multiply
    32,875.36x = 49,313.40 × 9,502
  4. Step 4: Simplify right side
    32,875.36x = 468,575,926.80
  5. Step 5: Solve for x
    x = 468,575,926.80/32,875.36
  6. Step 6: Final answer
    x = 14,253.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.