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Finding the Fourth Proportional to 76,435.40, 114,653.10 and 21,031.40

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Solution

The fourth proportional to 76,435.40, 114,653.10 and 21,031.40 is: 31,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.40 : 114,653.10 = 21,031.40 : x
  2. Step 2: Convert to fraction form
    76,435.40/114,653.10 = 21,031.40/x
  3. Step 3: Cross multiply
    76,435.40x = 114,653.10 × 21,031.40
  4. Step 4: Simplify right side
    76,435.40x = 2,411,315,207.34
  5. Step 5: Solve for x
    x = 2,411,315,207.34/76,435.40
  6. Step 6: Final answer
    x = 31,547.10

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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.