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Finding the Fourth Proportional to 97,502.16, 134,562 and 59,252.88

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Solution

The fourth proportional to 97,502.16, 134,562 and 59,252.88 is: 81,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502.16 : 134,562 = 59,252.88 : x
  2. Step 2: Convert to fraction form
    97,502.16/134,562 = 59,252.88/x
  3. Step 3: Cross multiply
    97,502.16x = 134,562 × 59,252.88
  4. Step 4: Simplify right side
    97,502.16x = 7,973,186,038.56
  5. Step 5: Solve for x
    x = 7,973,186,038.56/97,502.16
  6. Step 6: Final answer
    x = 81,774.46

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Why These Related Problems?

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