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Finding the Fourth Proportional to 75,260, 112,875.60 and 37,810.04

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Solution

The fourth proportional to 75,260, 112,875.60 and 37,810.04 is: 56,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260 : 112,875.60 = 37,810.04 : x
  2. Step 2: Convert to fraction form
    75,260/112,875.60 = 37,810.04/x
  3. Step 3: Cross multiply
    75,260x = 112,875.60 × 37,810.04
  4. Step 4: Simplify right side
    75,260x = 4,267,830,951.02
  5. Step 5: Solve for x
    x = 4,267,830,951.02/75,260
  6. Step 6: Final answer
    x = 56,707.83

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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.