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Finding the Fourth Proportional to 127,931.68, 191,897.52 and 34,435

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Solution

The fourth proportional to 127,931.68, 191,897.52 and 34,435 is: 51,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,931.68 : 191,897.52 = 34,435 : x
  2. Step 2: Convert to fraction form
    127,931.68/191,897.52 = 34,435/x
  3. Step 3: Cross multiply
    127,931.68x = 191,897.52 × 34,435
  4. Step 4: Simplify right side
    127,931.68x = 6,607,991,101.20
  5. Step 5: Solve for x
    x = 6,607,991,101.20/127,931.68
  6. Step 6: Final answer
    x = 51,652.50

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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.