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Finding the Fourth Proportional to 92,271.64, 127,337.40 and 56,461

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Solution

The fourth proportional to 92,271.64, 127,337.40 and 56,461 is: 77,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,271.64 : 127,337.40 = 56,461 : x
  2. Step 2: Convert to fraction form
    92,271.64/127,337.40 = 56,461/x
  3. Step 3: Cross multiply
    92,271.64x = 127,337.40 × 56,461
  4. Step 4: Simplify right side
    92,271.64x = 7,189,596,941.40
  5. Step 5: Solve for x
    x = 7,189,596,941.40/92,271.64
  6. Step 6: Final answer
    x = 77,917.73

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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.