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Finding the Fourth Proportional to 55,830.80, 83,719.80 and 32,464.40

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Solution

The fourth proportional to 55,830.80, 83,719.80 and 32,464.40 is: 48,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830.80 : 83,719.80 = 32,464.40 : x
  2. Step 2: Convert to fraction form
    55,830.80/83,719.80 = 32,464.40/x
  3. Step 3: Cross multiply
    55,830.80x = 83,719.80 × 32,464.40
  4. Step 4: Simplify right side
    55,830.80x = 2,717,913,075.12
  5. Step 5: Solve for x
    x = 2,717,913,075.12/55,830.80
  6. Step 6: Final answer
    x = 48,681.25

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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.