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Finding the Fourth Proportional to 52,312.60, 72,207.02 and 34,421.40

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Solution

The fourth proportional to 52,312.60, 72,207.02 and 34,421.40 is: 47,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312.60 : 72,207.02 = 34,421.40 : x
  2. Step 2: Convert to fraction form
    52,312.60/72,207.02 = 34,421.40/x
  3. Step 3: Cross multiply
    52,312.60x = 72,207.02 × 34,421.40
  4. Step 4: Simplify right side
    52,312.60x = 2,485,466,718.23
  5. Step 5: Solve for x
    x = 2,485,466,718.23/52,312.60
  6. Step 6: Final answer
    x = 47,511.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.