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Finding the Fourth Proportional to 42,977.04, 64,484.64 and 16,683.78

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Solution

The fourth proportional to 42,977.04, 64,484.64 and 16,683.78 is: 25,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977.04 : 64,484.64 = 16,683.78 : x
  2. Step 2: Convert to fraction form
    42,977.04/64,484.64 = 16,683.78/x
  3. Step 3: Cross multiply
    42,977.04x = 64,484.64 × 16,683.78
  4. Step 4: Simplify right side
    42,977.04x = 1,075,847,547.14
  5. Step 5: Solve for x
    x = 1,075,847,547.14/42,977.04
  6. Step 6: Final answer
    x = 25,033.08

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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.