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Finding the Fourth Proportional to 102,597.71, 153,895.21 and 32,477.02

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Solution

The fourth proportional to 102,597.71, 153,895.21 and 32,477.02 is: 48,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.71 : 153,895.21 = 32,477.02 : x
  2. Step 2: Convert to fraction form
    102,597.71/153,895.21 = 32,477.02/x
  3. Step 3: Cross multiply
    102,597.71x = 153,895.21 × 32,477.02
  4. Step 4: Simplify right side
    102,597.71x = 4,998,057,347.14
  5. Step 5: Solve for x
    x = 4,998,057,347.14/102,597.71
  6. Step 6: Final answer
    x = 48,715.10

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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.