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Finding the Fourth Proportional to 102,587.79, 153,881.54 and 57,024.46

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Solution

The fourth proportional to 102,587.79, 153,881.54 and 57,024.46 is: 85,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,587.79 : 153,881.54 = 57,024.46 : x
  2. Step 2: Convert to fraction form
    102,587.79/153,881.54 = 57,024.46/x
  3. Step 3: Cross multiply
    102,587.79x = 153,881.54 × 57,024.46
  4. Step 4: Simplify right side
    102,587.79x = 8,775,011,298.72
  5. Step 5: Solve for x
    x = 8,775,011,298.72/102,587.79
  6. Step 6: Final answer
    x = 85,536.60

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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.