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Finding the Fourth Proportional to 56,483.79, 77,883.72 and 36,038.50

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Solution

The fourth proportional to 56,483.79, 77,883.72 and 36,038.50 is: 49,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,483.79 : 77,883.72 = 36,038.50 : x
  2. Step 2: Convert to fraction form
    56,483.79/77,883.72 = 36,038.50/x
  3. Step 3: Cross multiply
    56,483.79x = 77,883.72 × 36,038.50
  4. Step 4: Simplify right side
    56,483.79x = 2,806,812,443.22
  5. Step 5: Solve for x
    x = 2,806,812,443.22/56,483.79
  6. Step 6: Final answer
    x = 49,692.35

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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.