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Finding the Fourth Proportional to 56,506, 77,980.71 and 31,355.50

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Solution

The fourth proportional to 56,506, 77,980.71 and 31,355.50 is: 43,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506 : 77,980.71 = 31,355.50 : x
  2. Step 2: Convert to fraction form
    56,506/77,980.71 = 31,355.50/x
  3. Step 3: Cross multiply
    56,506x = 77,980.71 × 31,355.50
  4. Step 4: Simplify right side
    56,506x = 2,445,124,152.41
  5. Step 5: Solve for x
    x = 2,445,124,152.41/56,506
  6. Step 6: Final answer
    x = 43,271.94

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