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Finding the Fourth Proportional to 52,681.65, 78,985.48 and 19,397.46

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Solution

The fourth proportional to 52,681.65, 78,985.48 and 19,397.46 is: 29,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,681.65 : 78,985.48 = 19,397.46 : x
  2. Step 2: Convert to fraction form
    52,681.65/78,985.48 = 19,397.46/x
  3. Step 3: Cross multiply
    52,681.65x = 78,985.48 × 19,397.46
  4. Step 4: Simplify right side
    52,681.65x = 1,532,117,688.88
  5. Step 5: Solve for x
    x = 1,532,117,688.88/52,681.65
  6. Step 6: Final answer
    x = 29,082.57

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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.