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Finding the Fourth Proportional to 34,646.58, 51,966.63 and 9,688.86

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Solution

The fourth proportional to 34,646.58, 51,966.63 and 9,688.86 is: 14,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.58 : 51,966.63 = 9,688.86 : x
  2. Step 2: Convert to fraction form
    34,646.58/51,966.63 = 9,688.86/x
  3. Step 3: Cross multiply
    34,646.58x = 51,966.63 × 9,688.86
  4. Step 4: Simplify right side
    34,646.58x = 503,497,402.74
  5. Step 5: Solve for x
    x = 503,497,402.74/34,646.58
  6. Step 6: Final answer
    x = 14,532.38

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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.