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Finding the Fourth Proportional to 117,681, 176,521.50 and 34,575

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Solution

The fourth proportional to 117,681, 176,521.50 and 34,575 is: 51,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,681 : 176,521.50 = 34,575 : x
  2. Step 2: Convert to fraction form
    117,681/176,521.50 = 34,575/x
  3. Step 3: Cross multiply
    117,681x = 176,521.50 × 34,575
  4. Step 4: Simplify right side
    117,681x = 6,103,230,862.50
  5. Step 5: Solve for x
    x = 6,103,230,862.50/117,681
  6. Step 6: Final answer
    x = 51,862.50

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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.