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Finding the Fourth Proportional to 82,420.48, 123,681.48 and 32,492.08

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Solution

The fourth proportional to 82,420.48, 123,681.48 and 32,492.08 is: 48,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.48 : 123,681.48 = 32,492.08 : x
  2. Step 2: Convert to fraction form
    82,420.48/123,681.48 = 32,492.08/x
  3. Step 3: Cross multiply
    82,420.48x = 123,681.48 × 32,492.08
  4. Step 4: Simplify right side
    82,420.48x = 4,018,668,542.68
  5. Step 5: Solve for x
    x = 4,018,668,542.68/82,420.48
  6. Step 6: Final answer
    x = 48,758.13

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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.